Evaluation of a Class of Definite Integrals Involving Generalized Hypergeometric Functions

J. Prathima; Arjun K. Rathie

doi:10.5269/bspm.63647

Evaluation of a Class of Definite Integrals Involving Generalized Hypergeometric Functions

J. Prathima^*
, Arjun K. Rathie

^*Corresponding author for this work

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

Abstract

The major goal of this study is to develop eleven new classes of integrals involving generalised hypergeometric function by using highly intriguing and useful generalisations of several classical summation theorems for the ₂F₁ ₃F₂ ₄F₃ ₅F₄ and ₆F₅ generalized hypergeometric series obtained by Masjed- Jamei and Koepf and MacRobert integral. Several special cases have also been mentioned.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	43
DOIs	https://doi.org/10.5269/bspm.63647
Publication status	Published - 2025

All Science Journal Classification (ASJC) codes

General Mathematics

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10.5269/bspm.63647

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abstract = "The major goal of this study is to develop eleven new classes of integrals involving generalised hypergeometric function by using highly intriguing and useful generalisations of several classical summation theorems for the 2F1 3F2 4F3 5F4 and 6F5 generalized hypergeometric series obtained by Masjed- Jamei and Koepf and MacRobert integral. Several special cases have also been mentioned.",

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AB - The major goal of this study is to develop eleven new classes of integrals involving generalised hypergeometric function by using highly intriguing and useful generalisations of several classical summation theorems for the 2F1 3F2 4F3 5F4 and 6F5 generalized hypergeometric series obtained by Masjed- Jamei and Koepf and MacRobert integral. Several special cases have also been mentioned.

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Evaluation of a Class of Definite Integrals Involving Generalized Hypergeometric Functions

Abstract

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