On the contiguous relations of hypergeometric series

Medhat A. Rakha; Adel K. Ibrahim

doi:10.1016/j.cam.2005.05.016

On the contiguous relations of hypergeometric series

Medhat A. Rakha^*, Adel K. Ibrahim

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Contiguous relations are a fundamental concept within the theory of hypergeometric series and orthogonal polynomials. Their study goes back to Gauss who gave a list of 15 "fundamental" relations for the multiscripts(F, 1, mml:none(), prescripts(), 2, mml:none()) hypergeometric series. In this paper we will prove some consequences of contiguous relations of multiscripts(F, 1, mml:none(), prescripts(), 2, mml:none()).

Original language	English
Pages (from-to)	396-410
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	192
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.05.016
Publication status	Published - Aug 1 2006

Keywords

Contiguous relations
Hypergeometric function

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2005.05.016

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On the contiguous relations of hypergeometric series

Abstract

Keywords

ASJC Scopus subject areas

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