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Difference Hypergeometric Functions

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Progress in Approximation Theory

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 19))

Abstract

The particular solutions for hypergeometric-type difference equations on non-uniform lattices are constructed by using the method of undetermined coefficients. Recently there has been revived interest in the classical theory of special functions. In particular, this theory has been further developed through studying their difference analogs [AWl], [AW2], [NU1], [NSU], [AS1], [AS2], and [S]. Quantum algebras [D], [VS], [KR], [K], which are being developed nowadays, provide a natural basis for the group-theoretic interpretation of these difference special functions. In the present paper we discuss a method of constructing the solutions for difference equations of hypergeometric type on non-uniform lattices [AS2].

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Author information

Authors and Affiliations

  1. Physics Institute, Narimanov pr. 33, 370143, Baku, Azerbaijan

    N. M. Atakishiyev

  2. Kurchatov Institute of Atomic Energy, 123182, Moscow, Russia

    S. K. Suslov

Authors
  1. N. M. Atakishiyev
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  2. S. K. Suslov
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Editor information

Editors and Affiliations

  1. Steklov Mathematics Institute, 117966, Moscow GSP-1, Russia

    A. A. Gonchar

  2. Institute for Constructive Mathematics, University of South Florida, 33620, Tampa, FL, USA

    E. B. Saff

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© 1992 Springer-Verlag New York, Inc.

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Atakishiyev, N.M., Suslov, S.K. (1992). Difference Hypergeometric Functions. In: Gonchar, A.A., Saff, E.B. (eds) Progress in Approximation Theory. Springer Series in Computational Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2966-7_1

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  • DOI: https://doi.org/10.1007/978-1-4612-2966-7_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7737-8

  • Online ISBN: 978-1-4612-2966-7

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