Difference equation for associated polynomials on a linear lattice

Theoretical and Mathematical Physics

Volumn 106, Issue 1, 1996, Pages 61-67

  Atakishiyev, N M ^a,b,c   Ronveaux, A ^a,b,c   Wolf, K B ^a,b,c  

^a Jalisco   (Mexico)

^b INSTITUTE OF PHYSICS   (Azerbaijan)

^c UNIVERSITY OF NAMUR   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038975650     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02070763     Document Type: Article

References (15)

1. T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York (1978).
2. T. S. Chihara, Proc. Amer. Math. Soc., 8, 899-905 (1957).
3. A. Ronveaux and F. Marcellán, J. Comp. Appl. Math., 25, 105-109 (1989).
4. S. Belmehdi and A. Ronveaux, Rend. Math., Series VII, 11, 313-326 (1991).
5. A. A. Ronveaux, S. Belmehdi, J. Dini, and P. Maroni, J. Comp. Appl. Math., 29, 225-231 (1990).
6. A. Zarzo, A. Ronveaux, and E. Godoy, J. Comp. Appl. Math., 49, 349-359 (1993).
7. A. Ronveaux, "Fourth-order differential equations related to classical orthogonal polynomials," in: Proceedings of the VIGO Symposium on Orthogonal Polynomials and Their Applications (A. Cachafeiro and E. Godoi, eds.), Universidad de Santiago de Compostela. Spain (1988), pp. 159-169.
8. A. Ronveaux, J. Phys. A, 21, L749-L753 (1988).
9. H. A. Slimm, J. Math. Anal. Appl., 136, 1-19 (1988).
10. A. Ronveaux, "Fourth-order differential equations and orthogonal polynomials of the Laguerre-Hahn class," in: Orthogonal Polynomials and Their Applications (C. Brezinski et al., eds.) (IMACS Annals on Computing and Applied Mathematics, Nos. 1-4; XIV), Vol. 9, J. C. Baltzer AG, Scient. Publ. Co., Basel (1991), pp. 379-385.
11. P. L. Chebyshev, Complete Collected Works [in Russian], Vol. 3, Moscow, USSR Academy of Sciences (1948).
12. A. F. Nikiforov and V. B. Uvarov, "Classical orthogonal polynomials of a discrete variable on nonuniform lattices," Preprint No. 17, Keldysh Institute of Applied Mathematics, Moscow (1983); A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer, Berlin (1991).
13. A. F. Nikiforov and V. B. Uvarov, "Classical orthogonal polynomials of a discrete variable on nonuniform lattices," Preprint No. 17, Keldysh Institute of Applied Mathematics, Moscow (1983); A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer, Berlin (1991).
14. N. M. Atakishiyev and S. K. Suslov, Rev. Mex. Fís., 34, 152-167 (1988).
15. R. Koekoek and R. F. Swarttouw, "The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue," Report No. 94-05, Delft University of Technology, Delft (1994).