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Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Rahul Goyal, Praveen Agarwal, Georgia Irina Oros and Shilpi Jain
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Rahul Goyal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Georgia Irina Oros: Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 1 Universității Str., 410087 Oradea, Romania
Shilpi Jain: Department of Mathematics, Poornima College of Engineering, Jaipur 302022, India

Mathematics, 2022, vol. 10, issue 6, 1-8

Abstract: The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.

Keywords: matrix functional calculus; Mittag-Leffler matrix function; Gamma matrix function; Beta matrix function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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