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Article

An Extension of Beta Function by Using Wiman’s Function

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Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
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Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan
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Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates
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Department of Mathematics, Harish-Chandra Research Institute, Allahabad 211019, India
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International Center for Basic and Applied Sciences, Jaipur 302029, India
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Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Chris Goodrich
Axioms 2021, 10(3), 187; https://doi.org/10.3390/axioms10030187
Received: 3 August 2021 / Revised: 11 August 2021 / Accepted: 12 August 2021 / Published: 16 August 2021
(This article belongs to the Special Issue Special Functions Associated with Fractional Calculus)
The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function. View Full-Text
Keywords: classical Euler beta function; gamma function; Gauss hypergeometric function; confluent hypergeometric function; Mittag-Leffler function classical Euler beta function; gamma function; Gauss hypergeometric function; confluent hypergeometric function; Mittag-Leffler function
MDPI and ACS Style

Goyal, R.; Momani, S.; Agarwal, P.; Rassias, M.T. An Extension of Beta Function by Using Wiman’s Function. Axioms 2021, 10, 187. https://doi.org/10.3390/axioms10030187

AMA Style

Goyal R, Momani S, Agarwal P, Rassias MT. An Extension of Beta Function by Using Wiman’s Function. Axioms. 2021; 10(3):187. https://doi.org/10.3390/axioms10030187

Chicago/Turabian Style

Goyal, Rahul, Shaher Momani, Praveen Agarwal, and Michael Th. Rassias. 2021. "An Extension of Beta Function by Using Wiman’s Function" Axioms 10, no. 3: 187. https://doi.org/10.3390/axioms10030187

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