-
1
-
-
0034178881
-
On the extension of the Painlevé property to difference equations
-
Ablowitz M J, Halburd R G and Herbst B 2000 On the extension of the Painlevé property to difference equations Nonlinearity 13 889-905
-
(2000)
Nonlinearity
, vol.13
, pp. 889-905
-
-
Ablowitz, M.J.1
Halburd, R.G.2
Herbst, B.3
-
2
-
-
34249954165
-
Meromorphic solutions of the equation w(z + 1) = R(w(z))
-
Original Russian version: Teor. Funktsi Funktsional. Anal. i. Prilozhen 48 (1987) 26-32
-
Azarina Yu V 1990 Meromorphic solutions of the equation w(z + 1) = R(w(z)) J. Sov. Math. 49 871-5 (Original Russian version: Teor. Funktsi Funktsional. Anal. i. Prilozhen 48 (1987) 26-32)
-
J. Sov. Math.
, vol.1990
, Issue.49
, pp. 871-5
-
-
Azarina, Yu.V.1
-
3
-
-
34250132781
-
The entire solutions of a polynomial difference equation
-
Baker I N and Liverpool L S O
-
Baker I N and Liverpool L S O 1984 The entire solutions of a polynomial difference equation Aequationes Math. 27 97-113
-
(1984)
Aequationes Math.
, vol.27
, pp. 97-113
-
-
-
9
-
-
42249107178
-
Meromorphic solutions of some functional equations
-
Correction: Methods Appl. Anal. 6 1999
-
Bergweiler W, Ishizaki K and Yanagihara N 1998 Meromorphic solutions of some functional equations Methods Appl. Anal. 5 248-58 (Correction: Methods Appl. Anal. 6 1999)
-
(1998)
Methods Appl. Anal.
, vol.5
, pp. 248-258
-
-
Bergweiler, W.1
Ishizaki, K.2
Yanagihara, N.3
-
10
-
-
10244267207
-
Growth of meromorphic solutions of some functional equations. i
-
Bergweiler W, Ishizaki K and Yanagihara N 2002 Growth of meromorphic solutions of some functional equations. I Aequationes Math. 63 140-51
-
(2002)
Aequationes Math.
, vol.63
, pp. 140-51
-
-
Bergweiler, W.1
Ishizaki, K.2
Yanagihara, N.3
-
12
-
-
33646859849
-
Quantum field theory techniques in graphical enumeration
-
Bessis D, Itzykson C and Zuber J-B 1980 Quantum field theory techniques in graphical enumeration Adv. Appl. Math. 1 109-57
-
(1980)
Adv. Appl. Math.
, vol.1
, pp. 109-57
-
-
Bessis, D.1
Itzykson, C.2
Zuber, J.-B.3
-
13
-
-
84968517842
-
General theory of linear difference equations
-
Birkhoff G D 1911 General theory of linear difference equations Trans. Am. Math. Soc. 12 243-84
-
(1911)
Trans. Am. Math. Soc.
, vol.12
, pp. 243-84
-
-
Birkhoff, G.D.1
-
14
-
-
0001489307
-
The generalized Riemann problem for linear differential equations and the allied problems for linear difference and q-difference equations
-
Birkhoff G D 1913 The generalized Riemann problem for linear differential equations and the allied problems for linear difference and q-difference equations Proc. Am. Acad. Arts Sci. 49 521-68
-
(1913)
Proc. Am. Acad. Arts Sci.
, vol.49
, pp. 521-68
-
-
Birkhoff, G.D.1
-
16
-
-
0000598415
-
Sur les zéros des fonctions entières
-
Borel É 1897 Sur les zéros des fonctions entières Acta Math. 20 357-96
-
(1897)
Acta Math.
, vol.20
, pp. 357-96
-
-
Borel, E.1
-
17
-
-
0000750828
-
Exactly solvable field theories of closed strings
-
Brézin E and Kazakov V A 1990 Exactly solvable field theories of closed strings Phys. Lett. B 236 144-50
-
(1990)
Phys. Lett. B
, vol.236
, pp. 144-50
-
-
Brézin, E.1
Kazakov, V.A.2
-
18
-
-
84963009000
-
Brownian motion and nevanlinna theory
-
Carne T K 1986 Brownian motion and Nevanlinna theory Proc. Lond. Math. Soc. 52 349-68
-
(1986)
Proc. Lond. Math. Soc.
, vol.52
, pp. 349-68
-
-
Carne, T.K.1
-
21
-
-
33644760288
-
On the Nevanlinna order of meromorphic solutions to linear analytic difference equations
-
Chiang YMand Ruijsenaars S NM2006 On the Nevanlinna order of meromorphic solutions to linear analytic difference equations Stud. Appl. Math. 116 (3) 257-87
-
(2006)
Stud. Appl. Math.
, vol.116
, Issue.3
, pp. 257-87
-
-
Chiang, Y.M.1
Ruijsenaars, S.N.M.2
-
23
-
-
0002246810
-
On integral and meromorphic functions
-
Clunie J 1962 On integral and meromorphic functions J. Lond. Math. Soc. 37 17-27
-
(1962)
J. Lond. Math. Soc.
, vol.37
, pp. 17-27
-
-
Clunie, J.1
-
24
-
-
0036437123
-
Movable singularities of solutions of difference equations in relation to solvability and a study of a superstable fixed point
-
CostinOand KruskalM2002Movable singularities of solutions of difference equations in relation to solvability and a study of a superstable fixed point Theor. Math. Phys. 133 1455-62
-
(2002)
Theor. Math. Phys.
, vol.133
, pp. 1455-62
-
-
Costin, O.1
Kruskal, M.2
-
25
-
-
0001176641
-
Strings in less than one dimension
-
Douglas M R and Shenker S H 1990 Strings in less than one dimension Nucl. Phys. B 335 635-54
-
(1990)
Nucl. Phys. B
, vol.335
, pp. 635-54
-
-
Douglas, M.R.1
Shenker, S.H.2
-
26
-
-
0039397689
-
The inverse problem of the Nevanlinna theory
-
Drasin D 1977 The inverse problem of the Nevanlinna theory Acta Math. 138 83-151
-
(1977)
Acta Math.
, vol.138
, pp. 83-151
-
-
Drasin, D.1
-
27
-
-
9544222466
-
Meromorphic solutions of algebraic differential equations
-
Translation in Russ. Math. Surv.
-
Eremenko A E 1982 Meromorphic solutions of algebraic differential equations Uspekhi Mat. Nauk 37 53-82, 240 (Translation in Russ. Math. Surv.)
-
(1982)
Uspekhi Mat. Nauk
, vol.37
, Issue.53-82
, pp. 240
-
-
Eremenko, A.E.1
-
28
-
-
0039463923
-
Iterations of rational functions and the distribution of the values of Poincaré functions
-
Russian) (Translation in J. Sov. Math. 58 (1992) 504-9
-
Eremenko A E and Sodin M L 1990 Iterations of rational functions and the distribution of the values of Poincaré functions Teor. Funktsii Funktsional. Anal. i Prilozhen. 53 18-25 (Russian) (Translation in J. Sov. Math. 58 (1992) 504-9)
-
(1990)
Teor. Funktsii Funktsional. Anal. i Prilozhen.
, vol.53
, pp. 18-25
-
-
Eremenko, A.E.1
Sodin, M.L.2
-
29
-
-
0001001511
-
Singularity, complexity, and quasi-integrability of rational mappings
-
Falqui G and Viallet C-M 1993 Singularity, complexity, and quasi-integrability of rational mappings Commun. Math. Phys. 154 111-25
-
(1993)
Commun. Math. Phys.
, vol.154
, pp. 111-25
-
-
Falqui, G.1
Viallet, C.-M.2
-
30
-
-
0001661193
-
Sur les equations fonctionnelles
-
Fatou P 1920 Sur les equations fonctionnelles Bull. Soc. France 48 33-94, 208-314
-
(1920)
Bull. Soc. France
, vol.48
, Issue.33-94
, pp. 208-314
-
-
Fatou, P.1
-
32
-
-
0000533283
-
Discrete Painlevé equations and their appearance in quantum gravity
-
Fokas A S, Its A R and Kitaev A V 1991 Discrete Painlevé equations and their appearance in quantum gravity Commun. Math. Phys. 142 313-44
-
(1991)
Commun. Math. Phys.
, Issue.142
, pp. 313-44
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
33
-
-
0000283311
-
On the coefficients in the recursion formulae of orthogonal polynomials
-
Freud G 1976 On the coefficients in the recursion formulae of orthogonal polynomials Proc. R. Ir. Acad. A 76 1-6
-
(1976)
Proc. R. Ir. Acad. A
, vol.76
, pp. 1-6
-
-
Freud, G.1
-
41
-
-
0001019709
-
Nonperturbative two-dimensional quantum gravity
-
Gross D and Migdal A 1990 Nonperturbative two-dimensional quantum gravity Phys. Rev. Lett. 64 127-30
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 127-30
-
-
Gross, D.1
Migdal, A.2
-
42
-
-
0000061965
-
Meromorphic functions that share three or four values
-
Gundersen G G 1979 Meromorphic functions that share three or four values J. Lond. Math. Soc. 20 457-66
-
(1979)
J. Lond. Math. Soc.
, vol.20
, pp. 457-66
-
-
Gundersen, G.G.1
-
43
-
-
84963003456
-
Meromorphic functions that share four values
-
Correction: Trans. Am. Math. Soc. 304 (1987) 847-50
-
Gundersen G G 1983 Meromorphic functions that share four values Trans. Am. Math. Soc. 277 545-67 (Correction: Trans. Am. Math. Soc. 304 (1987) 847-50)
-
(1983)
Trans. Am. Math. Soc.
, vol.277
, pp. 545-67
-
-
Gundersen, G.G.1
-
44
-
-
84963044117
-
Estimates for the logarithmic derivative of meromorphic functions, plus similar estimates
-
Gundersen G G 1988 Estimates for the logarithmic derivative of meromorphic functions, plus similar estimates J. Lond. Math. Soc. 37 88-104
-
(1988)
J. Lond. Math. Soc.
, vol.37
, pp. 88-104
-
-
Gundersen, G.G.1
-
45
-
-
22544463800
-
Meromorphic solutions of generalized Schröder equations
-
Gundersen G G, Heittokangas J, Laine I, Rieppo J and Yang D 2002 Meromorphic solutions of generalized Schröder equations Aequationes Math. 63 110-35
-
(2002)
Aequationes Math.
, vol.63
, pp. 110-35
-
-
Gundersen, G.G.1
Heittokangas, J.2
Laine, I.3
Rieppo, J.4
Yang, D.5
-
48
-
-
29144518762
-
Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
-
Halburd R G and Korhonen R J 2006 Difference analogue of the lemma on the logarithmic derivative with applications to difference equations J. Math. Anal. Appl. 314 477-87
-
(2006)
J. Math. Anal. Appl.
, vol.314
, pp. 477-87
-
-
Halburd, R.G.1
Korhonen, R.J.2
-
49
-
-
33746912413
-
Existence of finite order meromorphic solutions as a detector of integrability in difference equations
-
Halburd R G and Korhonen R J 2006 Existence of finite order meromorphic solutions as a detector of integrability in difference equations Physica D 218 191-203
-
(2006)
Physica D
, vol.218
, pp. 191-203
-
-
Halburd, R.G.1
Korhonen, R.J.2
-
50
-
-
78449263527
-
Finite-order meromorphic solutions and the discrete Painlevé equations
-
press (Preprint nlin.SI/0504026
-
Halburd R G and Korhonen R J 2005 Finite-order meromorphic solutions and the discrete Painlevé equations Proc. Lond. Math. Soc. at press (Preprint nlin.SI/0504026)
-
(2005)
Proc. Lond. Math. Soc.
-
-
Halburd, R.G.1
Korhonen, R.J.2
-
51
-
-
34250948759
-
Asymptotic solutions of systems of nonlinear difference equations
-
Harris W A and Sibuya Y 1964 Asymptotic solutions of systems of nonlinear difference equations Arch. Ration. Mech. Anal. 15 377-95
-
(1964)
Arch. Ration. Mech. Anal.
, vol.15
, pp. 377-95
-
-
Harris, W.A.1
Sibuya, Y.2
-
52
-
-
27144508530
-
General solution of nonlinear difference equations
-
Harris W A and Sibuya Y 1965 General solution of nonlinear difference equations Trans. Am. Math. Soc. 115 62-75
-
(1965)
Trans. Am. Math. Soc.
, vol.115
, pp. 62-75
-
-
Harris, W.A.1
Sibuya, Y.2
-
53
-
-
27144480910
-
On asymptotic solutions of systems of nonlinear difference equations
-
HarrisWA and Sibuya Y 1966 On asymptotic solutions of systems of nonlinear difference equations J. Reine Angew. Math. 222 120-35
-
(1966)
J. Reine Angew. Math.
, vol.222
, pp. 120-35
-
-
Harris, W.A.1
Sibuya, Y.2
-
55
-
-
84963074551
-
On the characteristic of functions meromorphic in the plane and of their integrals
-
Hayman W K 1965 On the characteristic of functions meromorphic in the plane and of their integrals Proc. Lond. Math. Soc. 14a 93-128
-
(1965)
Proc. Lond. Math. Soc.
, vol.14
, pp. 93-128
-
-
Hayman, W.K.1
-
56
-
-
0001436398
-
The local growth of power series: A survey of the Wiman-Valiron method
-
Hayman W K 1974 The local growth of power series: a survey of the Wiman-Valiron method Canad. Math. Bull. 17 317-58
-
(1974)
Canad. Math. Bull.
, vol.17
, pp. 317-358
-
-
Hayman, W.K.1
-
58
-
-
24144455086
-
Complex difference equations of Malmquist type
-
Heittokangas J, Korhonen R, Laine I, Rieppo J and Tohge K 2001 Complex difference equations of Malmquist type Comput. Methods Funct. Theory 1 27-39
-
(2001)
Comput Methods Funct. Theory
, vol.1
, pp. 27-39
-
-
Heittokangas, J.1
Korhonen, R.2
Laine, I.3
Rieppo, J.4
Tohge, K.5
-
60
-
-
84967763067
-
Some applications of Nevanlinna theory to mathematical logic: Identities of exponential functions
-
Henson C W and Rubel L A 1984 Some applications of Nevanlinna theory to mathematical logic: identities of exponential functions Trans. Am. Math. Soc. 282 1-32
-
(1984)
Trans. Am. Math. Soc.
, vol.282
, pp. 1-32
-
-
Henson, C.W.1
Rubel, L.A.2
-
61
-
-
0032514086
-
Singularity confinement and chaos in discrete systems
-
Hietarinta J and Viallet C-M 1998 Singularity confinement and chaos in discrete systems Phys. Rev. Lett. 81 325-8
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 325-328
-
-
Hietarinta, J.1
Viallet, C.-M.2
-
63
-
-
72449138831
-
On a meromorphic solution of some difference equation
-
Hirai I 1979 On a meromorphic solution of some difference equation J. Coll. Arts Sci., Chiba Univ. 12 5-10
-
(1979)
J. Coll. Arts Sci., Chiba Univ.
, vol.12
, pp. 5-10
-
-
Hirai, I.1
-
64
-
-
0035979981
-
Integrable mappings of the plane preserving biquadratic invariant curves
-
Iatrou A and Roberts J A G 2001 Integrable mappings of the plane preserving biquadratic invariant curves J. Phys. A: Math. Gen. 34 6617-36
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 6617-36
-
-
Iatrou, A.1
Roberts, J.A.G.2
-
66
-
-
18544365058
-
Deficiency for meromorphic solutions of Schröder equations
-
Ishizaki K and Yanagihara N 2004 Deficiency for meromorphic solutions of Schröder equations Complex Var. Theory Appl. 49 539-48
-
(2004)
Complex Var. Theory Appl.
, vol.49
, pp. 539-548
-
-
Ishizaki, K.1
Yanagihara, N.2
-
67
-
-
10244279320
-
Wiman-Valiron method for difference equations
-
Ishizaki K and Yanagihara N 2004 Wiman-Valiron method for difference equations Nagoya Math. J. 175 75-102
-
(2004)
Nagoya Math. J.
, vol.175
, pp. 75-102
-
-
Ishizaki, K.1
Yanagihara, N.2
-
68
-
-
22544470906
-
Borel and Julia directions of meromorphic Schröder functions
-
Ishizaki K and Yanagihara N 2005 Borel and Julia directions of meromorphic Schröder functions Math. Proc. Camb. Phil. Soc. 139 139-47
-
(2005)
Math. Proc. Camb. Phil. Soc.
, vol.139
, pp. 139-147
-
-
Ishizaki, K.1
Yanagihara, N.2
-
70
-
-
33644602291
-
The isomonodromy approach in the theory of two-dimensional quantum gravitation
-
Its A R, Kitaev A V and Fokas A S 1990 The isomonodromy approach in the theory of two-dimensional quantum gravitation Russ. Math. Surv. 45 155-7
-
(1990)
Russ. Math. Surv.
, vol.45
, pp. 155-157
-
-
Its, A.R.1
Kitaev, A.V.2
Fokas, A.S.3
-
71
-
-
36749111480
-
The planar approximation: II
-
Itzykson C and Zuber J B 1980 The planar approximation: II. J. Math. Phys. 21 411-21
-
(1980)
J. Math. Phys.
, vol.21
, pp. 411-421
-
-
Itzykson, C.1
Zuber, J.B.2
-
73
-
-
0002387384
-
Bilinear structure and Schlesinger transforms of the q-pIII and q-pIV equations
-
Jimbo M, Sakai H, Ramani A and Grammaticos B 1996 Bilinear structure and Schlesinger transforms of the q-pIII and q-pIV equations Phys. Lett. A 217 111-8
-
(1996)
Phys. Lett. A
, vol.217
, pp. 111-8
-
-
Jimbo, M.1
Sakai, H.2
Ramani, A.3
Grammaticos, B.4
-
74
-
-
0001336814
-
Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
-
Joshi N, Burtonclay D and Halburd R 1992 Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem Lett. Math. Phys. 26 123-31
-
(1992)
Lett. Math. Phys.
, vol.26
, pp. 123-31
-
-
Joshi, N.1
Burtonclay, D.2
Halburd, R.3
-
75
-
-
0002413379
-
Memoire sur l'iteration des fonctions rationnelles
-
Julia G 1918 Memoire sur l'iteration des fonctions rationnelles J. Math. Pures Appl. 1 47-245
-
(1918)
J. Math. Pures Appl.
, vol.1
, pp. 47-245
-
-
Julia, G.1
-
76
-
-
36449008203
-
Casorati determinant solutions for the discrete Painlevé-III equation
-
Kajiwara K, Ohta Y and Satsuma J 1995 Casorati determinant solutions for the discrete Painlevé-III equation J. Math. Phys. 36 4162-74
-
(1995)
J. Math. Phys.
, vol.36
, pp. 4162-74
-
-
Kajiwara, K.1
Ohta, Y.2
Satsuma, J.3
-
77
-
-
21344482377
-
Casorati determinant solutions for the discrete Painlevé-II equation
-
Kajiwara K, Ohta Y, Satsuma J, Grammaticos B and Ramani A 1994 Casorati determinant solutions for the discrete Painlevé-II equation J. Phys. A: Math. Gen. 27 915-22
-
(1994)
J. Phys. A: Math. Gen.
, vol.27
, pp. 915-22
-
-
Kajiwara, K.1
Ohta, Y.2
Satsuma, J.3
Grammaticos, B.4
Ramani, A.5
-
78
-
-
0002155692
-
On the iteration of analytic functions
-
Kimura T 1971 On the iteration of analytic functions Funkcial. Ekvac. 14 197-238
-
(1971)
Funkcial. Ekvac.
, vol.14
, pp. 197-238
-
-
Kimura, T.1
-
83
-
-
0000285511
-
Painlevé type differential equations for the recurrence coefficients of semiclassical orthogonal polynomials
-
MagnusAP 1995 Painlevé type differential equations for the recurrence coefficients of semiclassical orthogonal polynomials J. Comput. Appl. Math. 57 215-37
-
(1995)
J. Comput. Appl. Math.
, vol.57
, pp. 215-37
-
-
Magnus, A.P.1
-
85
-
-
0000955242
-
Sur les fonctions á un nombre fini des branches définies par les équations différentielles du premier ordre
-
Malmquist J 1913 Sur les fonctions á un nombre fini des branches définies par les équations différentielles du premier ordre Acta Math. 36 297-343
-
(1913)
Acta Math.
, vol.36
, pp. 297-343
-
-
Malmquist, J.1
-
86
-
-
0003037115
-
A problem in the stability of periodic systems
-
Tribute to E.V. Condon ed E Brittin and H Odabasi (Boulder, CO: Colorado Assoc. Univ. Press)
-
McMillan E M 1971 A problem in the stability of periodic systems Topics in Modern Physics, a Tribute to E.V. Condon ed E Brittin and H Odabasi (Boulder, CO: Colorado Assoc. Univ. Press) pp 219-44
-
(1971)
Topics in Modern Physics
, pp. 219-44
-
-
McMillan, E.M.1
-
89
-
-
0011182283
-
The Nevanlinna characteristics of certain meromorphic functions
-
Russian
-
Mohon'ko A Z 1971 The Nevanlinna characteristics of certain meromorphic functions Teor. Funktsii Funktsional. Anal. i Prilozhen 14 83-7 (Russian)
-
(1971)
Teor. Funktsii Funktsional. Anal. i Prilozhen
, vol.14
, pp. 83-87
-
-
Mohon'ko, A.Z.1
-
90
-
-
0001016105
-
Estimates of the Nevanlinna characteristics of certain classes of meromorphic functions, and their applications to differential equations
-
Russian
-
Mohon'ko A Z and Mohon'ko V D 1974 Estimates of the Nevanlinna characteristics of certain classes of meromorphic functions, and their applications to differential equations Sibirsk. Mat. Zh. 15 1305-22 (Russian)
-
(1974)
Sibirsk. Mat. Zh.
, vol.15
, pp. 1305-1322
-
-
Mohon'ko, A.Z.1
Mohon'ko, V.D.2
-
91
-
-
0001514347
-
Meromorphic functions sharing four values
-
Mues E 1989 Meromorphic functions sharing four values Complex Var. Theory Appl. 12 169-79
-
(1989)
Complex Var. Theory Appl.
, vol.12
, pp. 169-179
-
-
Mues, E.1
-
92
-
-
51249193158
-
Zur Theorie der meromorphen
-
Nevanlinna R 1925 Zur Theorie der meromorphen Funktionen Acta Math. 46 1-99
-
(1925)
Funktionen Acta Math.
, vol.46
, pp. 1-99
-
-
Nevanlinna, R.1
-
94
-
-
0001572216
-
Similarity reductions of integrable lattices and discrete analogues of the Painlevé II equation
-
Nijhoff FWand Papageorgiou V G 1991 Similarity reductions of integrable lattices and discrete analogues of the Painlevé II equation Phys. Lett. A 153 337-44
-
(1991)
Phys. Lett. A
, vol.153
, pp. 337-44
-
-
Nijhoff, F.W.1
Papageorgiou, V.G.2
-
96
-
-
0347245368
-
Singularity confinement and algebraic entropy: The case of the discrete Painlevé equations
-
Ohta Y, Tamizhmani KM, Grammaticos B and Ramani A 1999 Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations Phys. Lett. A 262 152-7
-
(1999)
Phys. Lett. A
, vol.262
, pp. 152-7
-
-
Ohta, Y.1
Tamizhmani, K.M.2
Grammaticos, B.3
Ramani, A.4
-
97
-
-
0011631618
-
A number theoretic-differential equations approach to generalizing Nevanlinna theory Indian
-
Osgood C F 1981 A number theoretic-differential equations approach to generalizing Nevanlinna theory Indian J. Math. 23 1-15
-
(1981)
J. Math.
, vol.23
, pp. 1-15
-
-
Osgood, C.F.1
-
99
-
-
0000546706
-
Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
-
Osgood C F 1985 Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better J. Number Theory 21 347-89
-
(1985)
J. Number Theory
, vol.21
, pp. 347-89
-
-
Osgood, C.F.1
-
101
-
-
0347366076
-
Unitary matrix models as exactly solvable string theories
-
Periwal V and Shevitz D 1990 Unitary matrix models as exactly solvable string theories Phys. Rev. Lett. 64 1326-9
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 1326-1329
-
-
Periwal, V.1
Shevitz, D.2
-
102
-
-
77949515034
-
Mémoire sur les fonctions entières
-
Picard É 1880 Mémoire sur les fonctions entières Ann. Ećole. Norm. 9 145-66
-
(1880)
Ann. Ećole. Norm.
, vol.9
, pp. 145-66
-
-
Picard, É.1
-
103
-
-
48349107293
-
Fundamental solutions for meromorphic linear difference equations in the complex plane, and related problems
-
Praagman C 1986 Fundamental solutions for meromorphic linear difference equations in the complex plane, and related problems J. Reine Angew. Math. 369 101-9
-
(1986)
J. Reine Angew. Math.
, vol.369
, pp. 101-109
-
-
Praagman, C.1
-
104
-
-
0037454787
-
An alternating integrable map whose square is the QRT map
-
Quispel G R W 2004 An alternating integrable map whose square is the QRT map Phys. Lett. A 307 50-4
-
(2004)
Phys. Lett. A
, vol.307
, pp. 50-54
-
-
Quispel, G.R.W.1
-
108
-
-
0030164149
-
Discrete Painlevé equations: Coalescences, limits and degeneracies
-
Ramani A and Grammaticos B 1996 Discrete Painlevé equations: coalescences, limits and degeneracies Physica A 228 160-71
-
(1996)
Physica A
, vol.228
, pp. 160-171
-
-
Ramani, A.1
Grammaticos, B.2
-
111
-
-
0038608247
-
The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement
-
Ramani A, Grammaticos B, Tamizhmani T and Tamizhmani K M 2003 The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement Comput. Math. Appl. 45 1001-12
-
(2003)
Comput. Math. Appl.
, vol.45
, pp. 1001-1012
-
-
Ramani, A.1
Grammaticos, B.2
Tamizhmani, T.3
Tamizhmani, K.M.4
-
112
-
-
0002114140
-
About the growth of entire functions solutions of linear algebraic q-difference equations
-
Ramis J-P 1992 About the growth of entire functions solutions of linear algebraic q-difference equations Ann. Fac. Sci. Toulouse Math. 1 53-94
-
(1992)
Ann. Fac. Sci. Toulouse Math.
, vol.1
, pp. 53-94
-
-
Ramis, J.-P.1
-
113
-
-
0037462966
-
Arithmetical method to detect integrability in maps
-
Roberts J A G and Vivaldi F 2003 Arithmetical method to detect integrability in maps Phys. Rev. Lett. 90 034102
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 034102
-
-
Roberts, J.A.G.1
Vivaldi, F.2
-
114
-
-
0010481101
-
Holomorphic fiber bundles over Riemann surfaces
-
Röhrl H 1962 Holomorphic fiber bundles over Riemann surfaces Bull. Am. Math. Soc. 68 125-60
-
(1962)
Bull. Am. Math. Soc.
, vol.68
, pp. 125-160
-
-
Röhrl, H.1
-
116
-
-
0031540338
-
First order analytic difference equations and inegrable quantum systems
-
Ruijsenaars S N M 1997 First order analytic difference equations and inegrable quantum systems J. Math. Phys. 38 1069-146
-
(1997)
J. Math. Phys.
, vol.38
, pp. 1069-1146
-
-
Ruijsenaars, S.N.M.1
-
117
-
-
0034357401
-
On Barnes' multiple zeta and gamma functions
-
Ruijsenaars S N M 2000 On Barnes' multiple zeta and gamma functions Adv. Math. 156 107-32
-
(2000)
Adv. Math.
, vol.156
, pp. 107-132
-
-
Ruijsenaars, S.N.M.1
-
118
-
-
0035534919
-
Rational surfaces associated with affine root systems and geometry of the Painlevé equations
-
Sakai H 2001 Rational surfaces associated with affine root systems and geometry of the Painlevé equations Commun. Math. Phys. 220 165-229
-
(2001)
Commun. Math. Phys.
, vol.220
, pp. 165-229
-
-
Sakai, H.1
-
119
-
-
21844487783
-
Bilinear discrete Painlevé-II and its particular solutions
-
Satsuma J, Kajiwara K, Grammaticos B, Hietarinta J and Ramani A 1995 Bilinear discrete Painlevé-II and its particular solutions J. Phys. A: Math. Gen. 28 3541-8
-
(1995)
J. Phys. A: Math. Gen.
, vol.28
, pp. 3541-3548
-
-
Satsuma, J.1
Kajiwara, K.2
Grammaticos, B.3
Hietarinta, J.4
Ramani, A.5
-
121
-
-
0000377387
-
Entire solutions of a polynomial difference equation
-
Shimomura S 1981 Entire solutions of a polynomial difference equation J. Fac. Sci. Univ. Tokyo IA 28 253-66
-
(1981)
J. Fac. Sci. Univ. Tokyo IA
, vol.28
, pp. 253-66
-
-
Shimomura, S.1
-
122
-
-
11744311462
-
A differential equation for orthogonal polynomials
-
Shohat J A 1939 A differential equation for orthogonal polynomials Duke Math. J. 5 401-17
-
(1939)
Duke Math. J.
, vol.5
, pp. 401-417
-
-
Shohat, J.A.1
-
123
-
-
0006762421
-
A uniqueness theorem for three meromorphic functions
-
Steinmetz N 1988 A uniqueness theorem for three meromorphic functions Ann. Acad. Sci. Fenn. AI 13 93-110
-
(1988)
Ann. Acad. Sci. Fenn. AI
, vol.13
, pp. 93-110
-
-
Steinmetz, N.1
-
124
-
-
0002960865
-
Sur la dérivée des fonctions algébröides
-
Valiron G 1931 Sur la dérivée des fonctions algébröides Bull. Soc. Math. France 59 17-39
-
(1931)
Bull. Soc. Math. France
, vol.59
, pp. 17-39
-
-
Valiron, G.1
-
126
-
-
0000964819
-
Growth and integrability in the dynamics of mappings
-
Veselov A P 1992 Growth and integrability in the dynamics of mappings Commun. Math. Phys. 145 181-93
-
(1992)
Commun. Math. Phys.
, vol.145
, pp. 181-193
-
-
Veselov, A.P.1
-
129
-
-
0001514287
-
Meromorphic solutions of some difference equations
-
Yanagihara N 1980 Meromorphic solutions of some difference equations Funkcialaj Ekvacioj 23 309-26
-
(1980)
Funkcialaj Ekvacioj
, vol.23
, pp. 309-326
-
-
Yanagihara, N.1
-
130
-
-
78449234506
-
Meromorphic solutions of some difference equations of higher order
-
Yanagihara N 1982 Meromorphic solutions of some difference equations of higher order Proc. Japan Acad. A 58 21-4
-
(1982)
Proc. Japan Acad. A
, vol.58
, pp. 21-4
-
-
Yanagihara, N.1
-
131
-
-
0001999778
-
Meromorphic solutions of some difference equations of the nth order
-
Yanagihara N 1985 Meromorphic solutions of some difference equations of the nth order Arch. Ration. Mech. Anal. 91 169-92
-
(1985)
Arch. Ration. Mech. Anal.
, vol.91
, pp. 169-192
-
-
Yanagihara, N.1
-
132
-
-
0000618680
-
A generalization of Malmquist's theorem
-
Yosida K 1933 A generalization of Malmquist's theorem J. Math. 9 253-6
-
(1933)
J. Math.
, vol.9
, pp. 253-256
-
-
Yosida, K.1
|