A note on the new extended beta and gauss hypergeometric functions

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Natural Sciences Publishing USA

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info:eu-repo/semantics/embargoedAccess

Abstract

A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1. Then we investigate to present certain properties and formulas associated with these three extended functions. The results presented here, being very general, are pointed out to be specialized to yield numerous known and new representations and formulas.

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Keywords

Beta function, Extended Beta functions, Extended confluent hypergeometric functions, Extended hypergeometric functions, Gamma function

Journal or Series

Applied Mathematics and Information Sciences

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Volume

12

Issue

1

Citation

Goswami, A., Jain, S., Agarwal, P., & Araci, S. (January 01, 2018). A Note on the New Extended Beta and Gauss Hypergeometric Functions. Applied Mathematics & Information Sciences, 12, 1, 139-144.

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