The theory of difference analogues of special functions of hypergeometric type

Abstract

CONTENTS Introduction § 1. Preliminary information § 2. Construction of particular solutions for a difference equation of hypergeometric type on non-uniform lattices § 3. Some properties of difference functions of hypergeometric type § 4. Classical orthogonal polynomials of a discrete variable on non-uniform lattices § 5. Functions of a discrete variable of the second kind § 6. Some solutions of a difference equation of hypergeometric type on non-uniform lattices Conclusion Appendix. A transformation of the original equation References