A note on some new Pδ-transforms of ₂F₂ generalized hypergeometric functions
Sunıl Dutt Purohıt, Vardhan Harsh Harsh, Arjun K. Rathie
Abstract
Sunıl Dutt Purohıt, Vardhan Harsh Harsh, Arjun K. Rathie
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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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