-
1
-
-
33745916339
-
-
R. Álvarez-Nodarse, Polinomios hipergemétricos y q-polinomios, Monografías del Seminario Matemático "García de Galdeano" Número 26, Prensas Universitarias de Zaragoza, Spain, 2003.
-
-
-
-
2
-
-
0003499867
-
-
Cambridge University Press, Cambridge
-
Andrews G.E., Askey R., and Roy R. Special Functions, Encyclopedia of Mathematics and its Applications vol. 71 (1999), Cambridge University Press, Cambridge
-
(1999)
Special Functions, Encyclopedia of Mathematics and its Applications
, vol.71
-
-
Andrews, G.E.1
Askey, R.2
Roy, R.3
-
3
-
-
0032024580
-
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: discrete case
-
Area I., Godoy E., Ronveaux A., and Zarzo A. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: discrete case. J. Comput. Appl. Math. 89 2 (1998) 309-325
-
(1998)
J. Comput. Appl. Math.
, vol.89
, Issue.2
, pp. 309-325
-
-
Area, I.1
Godoy, E.2
Ronveaux, A.3
Zarzo, A.4
-
4
-
-
0000031255
-
Inversion problems in the q-Hahn tableau
-
Area I., Godoy E., Ronveaux A., and Zarzo A. Inversion problems in the q-Hahn tableau. J. Symbolic Comput. 28 6 (1999) 767-776
-
(1999)
J. Symbolic Comput.
, vol.28
, Issue.6
, pp. 767-776
-
-
Area, I.1
Godoy, E.2
Ronveaux, A.3
Zarzo, A.4
-
5
-
-
27744529558
-
Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution
-
Area I., Godoy E., Ronveaux A., and Zarzo A. Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution. J. Comput. Appl. Math. 173 1 (2005) 81-92
-
(2005)
J. Comput. Appl. Math.
, vol.173
, Issue.1
, pp. 81-92
-
-
Area, I.1
Godoy, E.2
Ronveaux, A.3
Zarzo, A.4
-
6
-
-
0011884272
-
Associated Laguerre and Hermite polynomials
-
Askey R., and Wimp J. Associated Laguerre and Hermite polynomials. Proc. Roy. Soc. Edinburgh Sec. A 96 1-2 (1984) 15-37
-
(1984)
Proc. Roy. Soc. Edinburgh Sec. A
, vol.96
, Issue.1-2
, pp. 15-37
-
-
Askey, R.1
Wimp, J.2
-
7
-
-
0038975650
-
Difference equation for the associated polynomials on the linear lattice
-
Atakishiyev N.M., Ronveaux A., and Wolf K.B. Difference equation for the associated polynomials on the linear lattice. Theoret. Math. Phys. 106 1 (1996) 61-67
-
(1996)
Theoret. Math. Phys.
, vol.106
, Issue.1
, pp. 61-67
-
-
Atakishiyev, N.M.1
Ronveaux, A.2
Wolf, K.B.3
-
8
-
-
33745926093
-
-
E. Bézout, Théorie générale des équations algébriques, 1779.
-
-
-
-
10
-
-
0032666145
-
Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
-
Foupouagnigni M., Ronveaux A., and Koepf W. Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials. J. Comput. Appl. Math. 101 1-2 (1999) 231-236
-
(1999)
J. Comput. Appl. Math.
, vol.101
, Issue.1-2
, pp. 231-236
-
-
Foupouagnigni, M.1
Ronveaux, A.2
Koepf, W.3
-
12
-
-
0031247736
-
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: continuous case
-
Godoy E., Ronveaux A., Zarzo A., and Area I. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: continuous case. J. Comput. Appl. Math. 84 (1997) 257-275
-
(1997)
J. Comput. Appl. Math.
, vol.84
, pp. 257-275
-
-
Godoy, E.1
Ronveaux, A.2
Zarzo, A.3
Area, I.4
-
13
-
-
33745896122
-
Expression de la fonction de Legendre de seconde espèce
-
Humbert P. Expression de la fonction de Legendre de seconde espèce. C. R. 165 (1917) 759-761
-
(1917)
C. R.
, vol.165
, pp. 759-761
-
-
Humbert, P.1
-
14
-
-
33745903797
-
Sur deux polynômes associés aux polynômes de Legendre
-
Humbert P. Sur deux polynômes associés aux polynômes de Legendre. C. R. 167 (1918) 18-20
-
(1918)
C. R.
, vol.167
, pp. 18-20
-
-
Humbert, P.1
-
15
-
-
33745882864
-
Sur deux polynômes associés aux polynômes de Legendre
-
Humbert P. Sur deux polynômes associés aux polynômes de Legendre. Bull. Soc. Math. France 47 (1918) 120-151
-
(1918)
Bull. Soc. Math. France
, vol.47
, pp. 120-151
-
-
Humbert, P.1
-
16
-
-
33745908769
-
A reduction-formula for the functions of the second kind connected the polynomials of applied mathematics
-
Humbert P. A reduction-formula for the functions of the second kind connected the polynomials of applied mathematics. Proc. Roy. Soc. Edinburgh 38 (1918) 61-69
-
(1918)
Proc. Roy. Soc. Edinburgh
, vol.38
, pp. 61-69
-
-
Humbert, P.1
-
18
-
-
33745908490
-
-
R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Fac. Techn. Math. Informatics, Delft University of Technology, Report 98-17, Delft 1998.
-
-
-
-
19
-
-
0001939979
-
Compact quantum groups and q-special functions
-
Baldoni V., and Picardello M.A. (Eds), Longman Scientific & Technical, Oxford
-
Koornwinder T. Compact quantum groups and q-special functions. In: Baldoni V., and Picardello M.A. (Eds). Representations of Lie Groups and Quantum Groups, Pitman Research Notes in Mathematics Series vol. 311 (1994), Longman Scientific & Technical, Oxford 46-128
-
(1994)
Representations of Lie Groups and Quantum Groups, Pitman Research Notes in Mathematics Series
, vol.311
, pp. 46-128
-
-
Koornwinder, T.1
-
20
-
-
33745900133
-
-
J.C. Medem Roesicke, Polinomios ortogonales q-semiclásicos. Ph.D. Dissertation, Universidad Politécnica de Madrid, 1996.
-
-
-
-
21
-
-
33745873996
-
-
A. Nikiforov, V. Ouvarov, Éléments de la théorie des fonctions spéciales, Éditions Mir, Moscow, 1976.
-
-
-
-
22
-
-
0003674259
-
-
Springer, Berlin
-
Nikiforov A.F., Suslov S.K., and Uvarov V.B. Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational Physics (1991), Springer, Berlin
-
(1991)
Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational Physics
-
-
Nikiforov, A.F.1
Suslov, S.K.2
Uvarov, V.B.3
-
23
-
-
33745923389
-
-
PARI/GP, version 2.1.5, Bordeaux, 2004, 〈http://pari.math.u-bordeaux.fr/〉.
-
-
-
-
25
-
-
0011562452
-
Fourth-order differential equations for numerator polynomials
-
Ronveaux A. Fourth-order differential equations for numerator polynomials. J. Phys. A 21 15 (1998) L749-L753
-
(1998)
J. Phys. A
, vol.21
, Issue.15
-
-
Ronveaux, A.1
-
26
-
-
84975543898
-
Waveguide and fibers for non linear optics
-
Stegemen G.I., and Stolen R.H. Waveguide and fibers for non linear optics. J. Opt. Soc. Am. B 6 (1989) 652-666
-
(1989)
J. Opt. Soc. Am. B
, vol.6
, pp. 652-666
-
-
Stegemen, G.I.1
Stolen, R.H.2
-
29
-
-
0040828845
-
Explicit formulas for the associated Jacobi polynomials and some applications
-
Wimp J. Explicit formulas for the associated Jacobi polynomials and some applications. Canad. J. Math. 39 4 (1987) 983-1000
-
(1987)
Canad. J. Math.
, vol.39
, Issue.4
, pp. 983-1000
-
-
Wimp, J.1
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