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k-SRIVASTAVA HYPERGEOMETRIC FUNCTIONS AND THEIR INTEGRAL REPRESENTATIONS

Miskolc Mathematical Notes, ISSN: 1787-2413, Vol: 25, Issue: 2, Page: 685-697
2024
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Article Description

In this study, we introduce the k-Srivastava hypergeometric functions by means of the Pochhammer k-symbol. Also, we obtain the relations between k-Srivastava hypergeometric and classical Srivastava hypergeometric functions. Then, we show that with the help of these relations, integral representations of k-Srivastava hypergeometric functions can be easily proved without the need for lengthy proofs.

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