Difference equation for the associated polynomials on the linear lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 1, pp. 76-83 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss the difference equations on the linear lattice for the polynomials associated to the classical Hahn, Kravchuk, Meixner, and Charlier polynomials.
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N. M. Atakishiyev; A. Ronveaux; K. B. Wolf. Difference equation for the associated polynomials on the linear lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 1, pp. 76-83. http://geodesic.mathdoc.fr/item/TMF_1996_106_1_a5/

[1] Chihara T. S., An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, 1978 | MR | Zbl

[2] Chihara T. S., Proc. Amer. Math. Soc., 8 (1957), 899–905 | DOI | MR | Zbl

[3] Ronveaux, Marcellán F., J. Comp. Appl. Math., 25 (1989), 105–109 | DOI | MR | Zbl

[4] Belmehdi S., Ronveaux A., Rend. Math. Serie VII, 11 (1991), 313–326 | MR | Zbl

[5] Ronveaux A., Belmehdi S., Dini J., Maroni P., J. Comp. Appl. Math., 29 (1990), 225–231 | DOI | MR | Zbl

[6] Zarzo A., Ronveaux A., Godoy E., J. Comp. Appl. Math., 49 (1993), 349–359 | DOI | MR | Zbl

[7] Ronveaux A., Proceedings of the VIGO Symposium on Orthogonal Polynomials and Their Applications (Spain, Universidad de Santiago de Compostela), eds. A. Cachafeiro and E. Godoi, 1988, 159–169 | MR

[8] Ronveaux A., J. Phys. A: Math. Gen., 21 (1988), L749–L753 | DOI | MR | Zbl

[9] Slimm H. A., J. Math. Anal. Appl., 136 (1988), 1–19 | DOI | MR

[10] Ronveaux A., Orthogonal Polynomials and Their Applications, IMACS Annals on Computing and Applied Mathematics, 9, no. 1–4; XIV, eds. C. Brezinski et al., J. C. Baltzer AG, Scient. Publ. Co., Basel, 1991, 379–385

[11] Chebyshev P. L., Complete Collected Works, V. 3, USSR Academy of Sciences, M., 1948 (in Russian) | MR

[12] Nikiforov A. F., Uvarov V. B., Classical orthogonal polynomials of a discrete variable on nonuniform lattices, Preprint No 17, Keldysh Institute of Applied Mathematics, M., 1983 (in Russian) ; Nikiforov A. F., Suslov S. K., Uvarov V. B., Classical Orthogonal Polynomials of a Discrete Variable, Springer-Verlag, Berlin, 1991 | MR | MR

[13] Atakishiyev N. M., Suslov S. K., Rev. Mex. Física, 34 (1988), 152–167 | MR | Zbl

[14] Koekoek R., Swarttouw R. F., The Askey-scheme of hypergeometric orthogonal polynomials and its $q$-analogue, Report 94–05, Delft University of Technology, Delft, 1994