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arXiv · 1705.03762

An Extended k-type Hypergeometric Functions

Praveen Agarwal·Mohamed Jleli
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Abstract

Hypergeometric functions and their generalizations play an important r\^{o}les in diverse applications. Many authors have been established generalizations of hypergeometric functions by a number ways. In this paper, we aim at establishing (presumably new) extended $k-$type hypergeometric function $_{2}f_{1}^{k}[a, b; c; \omega; z]$ and study various properties including integral representations, differential formulas and fractional integral and derivative formula.

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Praveen Agarwal, Mohamed Jleli. 2017-05-07. An Extended k-type Hypergeometric Functions. https://arxiv.org/abs/1705.03762

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