New Extension of Beta Function and Its Applications

Mehar Chand, Hanaa Hachimi and Rekha Rani

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-25

Abstract:

In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their properties, integral representation, certain fractional derivatives, and fractional integral formulas and application of these functions.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6451592

DOI: 10.1155/2018/6451592

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