-
3
-
-
77649086032
-
Q-discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials
-
Boelen L., Smit C., Van Assche W. q-discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials. J. Difference Equ. Appl. 2010, 16:37-53.
-
(2010)
J. Difference Equ. Appl.
, vol.16
, pp. 37-53
-
-
Boelen, L.1
Smit, C.2
Van Assche, W.3
-
4
-
-
77951467920
-
Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials
-
Boelen L., Van Assche W. Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. Proc. Amer. Math. Soc. 2010, 138:1317-1331.
-
(2010)
Proc. Amer. Math. Soc.
, vol.138
, pp. 1317-1331
-
-
Boelen, L.1
Van Assche, W.2
-
5
-
-
0041047668
-
Ladder operators and differential equations for orthogonal polynomials
-
Chen Y., Ismail M.E.H. Ladder operators and differential equations for orthogonal polynomials. J. Phys. A 1997, 30:7817-7829.
-
(1997)
J. Phys. A
, vol.30
, pp. 7817-7829
-
-
Chen, Y.1
Ismail, M.E.H.2
-
6
-
-
43949127710
-
Ladder operators for q-orthogonal polynomials
-
Chen Y., Ismail M.E.H. Ladder operators for q-orthogonal polynomials. J. Math. Anal. Appl. 2008, 345:1-10.
-
(2008)
J. Math. Anal. Appl.
, vol.345
, pp. 1-10
-
-
Chen, Y.1
Ismail, M.E.H.2
-
7
-
-
0000533283
-
Discrete Painlevé equations and their appearance in quantum gravity
-
Fokas A.S., Its A.R., Kitaev A.V. Discrete Painlevé equations and their appearance in quantum gravity. Comm. Math. Phys. 1991, 142:313-344.
-
(1991)
Comm. Math. Phys.
, vol.142
, pp. 313-344
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
8
-
-
0001283085
-
The isomonodromy approach to matrix models in 2D quantum gravity
-
Fokas A.S., Its A.R., Kitaev A.V. The isomonodromy approach to matrix models in 2D quantum gravity. Comm. Math. Phys. 1992, 147:395-430.
-
(1992)
Comm. Math. Phys.
, vol.147
, pp. 395-430
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
9
-
-
0000283311
-
On the coefficients in the recursion formulae of orthogonal polynomials
-
Freud G. On the coefficients in the recursion formulae of orthogonal polynomials. Proc. Roy. Irish Acad. Sect. A 1976, 76:1-6.
-
(1976)
Proc. Roy. Irish Acad. Sect. A
, vol.76
, pp. 1-6
-
-
Freud, G.1
-
10
-
-
33847074584
-
Discrete Painlevé equations: A review
-
Springer
-
Gramaticos B., Ramani A. Discrete Painlevé equations: A review. Lecture Notes in Phys. 2004, vol. 644:245-321. Springer.
-
(2004)
Lecture Notes in Phys.
, vol.644
, pp. 245-321
-
-
Gramaticos, B.1
Ramani, A.2
-
11
-
-
78650055837
-
Orthogonal polynomials, their recursions, and functional equations
-
in, Cambridge University Press, Cambridge, 2010, in press.
-
M.E.H. Ismail, Orthogonal polynomials, their recursions, and functional equations, in: D. Levi, P. Olver, Z. Thomova, P. Winternitz (Eds.), Symmetry and Integrability of Difference Equations, in: London Math. Soc. Lecture Note Ser., Cambridge University Press, Cambridge, 2010, in press.
-
D. Levi, P. Olver, Z. Thomova, P. Winternitz (Eds.), Symmetry and Integrability of Difference Equations, in: London Math. Soc. Lecture Note Ser.
-
-
Ismail, M.E.H.1
-
12
-
-
33644949358
-
Classical and Quantum Orthogonal Polynomials in One Variable
-
Cambridge University Press
-
Ismail M.E.H. Classical and Quantum Orthogonal Polynomials in One Variable. Encyclopedia Math. Appl. 2005, vol. 98. Cambridge University Press.
-
(2005)
Encyclopedia Math. Appl.
, vol.98
-
-
Ismail, M.E.H.1
-
13
-
-
17444402877
-
Difference equations and discriminants for discrete orthogonal polynomials
-
Ismail M.E.H., Nikolova I., Simeonov P. Difference equations and discriminants for discrete orthogonal polynomials. Ramanujan J. 2004, 8:475-502.
-
(2004)
Ramanujan J.
, vol.8
, pp. 475-502
-
-
Ismail, M.E.H.1
Nikolova, I.2
Simeonov, P.3
-
14
-
-
69649098522
-
Q-Difference equations for orthogonal polynomials
-
Ismail M.E.H., Simeonov P. q-Difference equations for orthogonal polynomials. J. Comput. Appl. Math. 2009, 233(3):749-761.
-
(2009)
J. Comput. Appl. Math.
, vol.233
, Issue.3
, pp. 749-761
-
-
Ismail, M.E.H.1
Simeonov, P.2
-
15
-
-
78650036697
-
-
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Reports of the Faculty of Technical Mathematics and Informatics, No. 98-17, Delft University of Technology, 1998.
-
R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Reports of the Faculty of Technical Mathematics and Informatics, No. 98-17, Delft University of Technology, 1998.
-
-
-
Koekoek, R.1
Swarttouw, R.F.2
-
16
-
-
0002505553
-
On Freud's equations for exponential weights
-
Magnus A.P. On Freud's equations for exponential weights. J. Approx. Theory 1986, 46:65-99.
-
(1986)
J. Approx. Theory
, vol.46
, pp. 65-99
-
-
Magnus, A.P.1
-
17
-
-
0000285511
-
Painlevé type differential equations for orthogonal polynomials for the recurrence coefficients of semi-classical orthogonal polynomials
-
Magnus A.P. Painlevé type differential equations for orthogonal polynomials for the recurrence coefficients of semi-classical orthogonal polynomials. J. Comput. Appl. Math. 1995, 57:215-237.
-
(1995)
J. Comput. Appl. Math.
, vol.57
, pp. 215-237
-
-
Magnus, A.P.1
-
18
-
-
33745311071
-
Freud's equations for orthogonal polynomials as discrete Painlevé equations
-
Cambridge University Press, Cambridge, Symmetries and Integrability of Difference Equations
-
Magnus A.P. Freud's equations for orthogonal polynomials as discrete Painlevé equations. London Math. Soc. Lecture Note Ser. 1999, vol. 255:228-243. Cambridge University Press, Cambridge.
-
(1999)
London Math. Soc. Lecture Note Ser.
, vol.255
, pp. 228-243
-
-
Magnus, A.P.1
-
19
-
-
0004073954
-
Orthogonal Polynomials
-
American Mathematical Society
-
Szego G. Orthogonal Polynomials. Amer. Math. Soc. Colloq. Publ. 1991, vol. 23. American Mathematical Society.
-
(1991)
Amer. Math. Soc. Colloq. Publ.
, vol.23
-
-
Szego, G.1
-
20
-
-
78650038496
-
Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials
-
World Sci. Publ., Hackensack, NJ, S. Elaydi (Ed.)
-
Van Assche W. Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. Difference Equations, Special Functions and Orthogonal Polynomials 2007, 687-725. World Sci. Publ., Hackensack, NJ. S. Elaydi (Ed.).
-
(2007)
Difference Equations, Special Functions and Orthogonal Polynomials
, pp. 687-725
-
-
Van Assche, W.1
|