The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al. For this extended function, we derive various properties, including integral representations, recurrence relations, generating...

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Bibliographic Details

Published in:	Journal of Innovative Applied Mathematics and Computational Sciences
Main Authors:	Ahmed Atash, Hussein Bellehaj
Format:	Article
Language:	English
Published:	Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila 2025-07-01
Subjects:	Extended beta function Extended Exton's function Integral representations Recurrence relations Generating functions Transformation formulas
Online Access:	https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1916