k-Srivastava hypergeometric functions and their integral representations

Halıcı, Sena and Çetinkaya, Ayşegül (2024) k-Srivastava hypergeometric functions and their integral representations. Miskolc Mathematical Notes, 25 (2). pp. 685-697. ISSN 1787-2413

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Abstract

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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