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On Gaussian Hypergeometric Functions of Three Variables : Some New Integral Representations

Linked Agent
Younis , J.A, Author
Aydi , H, Author
Title of Periodical
Journal of Mathematics
Country of Publication
Kingdom of Bahrain
Place Published
Sakhir, Bahrain
Publisher
University of Bahrain
Date Issued
2022
Language
English
English Abstract
Abstract: The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel integral representations are carried out through ten hypergeometric functions of three variables. Therefore, all derived integrals are generalization representation of the Euler type for the classical Gauss hypergeometric function of one and two variables. In addition, several numerical examples were given to describe some of the obtained results.
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Identifier
https://digitalrepository.uob.edu.bh/id/f451f94a-59e7-4184-8ae3-c58a88418c4c