2020Akademik Açık Erişim (Işık Üniversitesi)Open access

A note on some new Pδ-transforms of ₂F₂ generalized hypergeometric functions

Sunıl Dutt Purohıt, Vardhan Harsh Harsh, Arjun K. Rathie

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Abstract

In this note, we aim to establish Pδ-transforms of ₂F₂ generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss’s second, Kummer’s and Bailey’s for the series ₂F1 obtained earlier by Lavoie et al. [2]. Special cases of our main findings are known results derived earlier by Parmar et al. [3].

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What this paper is about

In this note, we aim to establish Pδ-transforms of ₂F₂ generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss’s second, Kummer’s and Bailey’s for the series ₂F1 obtained earlier by Lavoie et al. [2]. Special cases of our main findings are known results derived earlier by Parmar et al. [3].

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Available abstract

In this note, we aim to establish Pδ-transforms of ₂F₂ generalized hypergeometric functions in terms of gamma functions. The results are established from the generalized classical summation theorems due to Gauss’s second, Kummer’s and Bailey’s for the series ₂F1 obtained earlier by Lavoie et al. [2]. Special cases of our main findings are known results derived earlier by Parmar et al. [3].

Key concepts: Mathematics, Hypergeometric function, Generalized hypergeometric function, Pure mathematics, Barnes integral, Hypergeometric function of a matrix argument

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