Transformation and Summation Formulas for Exton's Functions K11, K14 And K15

Ahmed Ali Atash; Hussein Saleh Bellehaj

Transformation and Summation Formulas for Exton's Functions K11, K14 And K15

Authors

Ahmed Ali Atash Department of Mathematics - Faculty of Education-Shabwah, Aden University, Aden, Yemen
Hussein Saleh Bellehaj Department of Mathematics - Faculty of Education-Shabwah, Aden University, Aden, Yemen

Keywords:

Transformation formulas, Summation formulas, Hypergeometric functions, Classical summation theorems.

Abstract

The aim of the present paper is to establish some transformation formulas for Exton's quadruple hypergeometric functions K₁₁, K₁₄ and K₁₅. Several summation formulas for K₁₁, K₁₄ and K₁₅ are also derived as an applications of our main results with the help of classical summation theorems.

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Electronic Journal of University of Aden For Basic and Applied Sciences

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Published

2020-03-07

How to Cite

Atash, A. A., & Bellehaj, H. S. (2020). Transformation and Summation Formulas for Exton’s Functions K11, K14 And K15. Electronic Journal of University of Aden for Basic and Applied Sciences, 1(1), 49–53. Retrieved from https://ejua.net/index.php/EJUA-BA/article/view/10