Difference hypergeometric functions. (English) Zbl 0787.33003

Atakishiyev, N. M.; Suslov, S. K.

Gonchar, A. A. (ed.) et al., Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. New York: Springer-Verlag. Springer Ser. Comput. Math. 19, 1-35 (1992).

This paper constructs particular solutions for difference equations of hypergeometric type on nonuniform lattices. Its mathematical principle is based on the method of undetermined coefficients.
For the entire collection see [Zbl 0764.00001].

Reviewer: Y.Kobayashi (Tottori)

MSC:

33C20

Generalized hypergeometric series, \({}_pF_q\)

Keywords:

general series expansion; orthogonal polynomials; method of undetermined coefficients