On some new contiguous relations for the Gauss hypergeometric function with applications

Medhat A. Rakha; Arjun K. Rathie; Purnima Chopra

doi:10.1016/j.camwa.2010.12.008

On some new contiguous relations for the Gauss hypergeometric function with applications

Medhat A. Rakha, Arjun K. Rathie, Purnima Chopra

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

16 Citations (Scopus)

Abstract

Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a new set of contiguous function relations are established. Applications of such relations to hypergeometric summation formulas and the theory of Jacobi polynomials are presented.

Original language	English
Pages (from-to)	620-629
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	61
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2010.12.008
Publication status	Published - Feb 2011
Externally published	Yes

Keywords

Contiguous function relation
F Hypergeometric function
Gauss hypergeometric function
Linear recurrence relation

ASJC Scopus subject areas

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2010.12.008

Cite this

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abstract = "Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a new set of contiguous function relations are established. Applications of such relations to hypergeometric summation formulas and the theory of Jacobi polynomials are presented.",

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AU - Rathie, Arjun K.

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KW - F Hypergeometric function

KW - Gauss hypergeometric function

KW - Linear recurrence relation

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On some new contiguous relations for the Gauss hypergeometric function with applications

Abstract

Keywords

ASJC Scopus subject areas

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