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On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals

by Ahmed Bakhet 1,2 and Fuli He 1,*
1
School of Mathematics and Statistics, Central South University, Changsha 410083, China
2
Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 232; https://doi.org/10.3390/math8020232
Received: 28 January 2020 / Revised: 3 February 2020 / Accepted: 4 February 2020 / Published: 10 February 2020
(This article belongs to the Special Issue Polynomials: Theory and Applications)
In this paper, we first introduce the 2-variables Konhauser matrix polynomials; then, we investigate some properties of these matrix polynomials such as generating matrix relations, integral representations, and finite sum formulae. Finally, we obtain the fractional integrals of the 2-variables Konhauser matrix polynomials.
Keywords: Konhauser matrix polynomial; generating matrix function; integral representation; fractional integral Konhauser matrix polynomial; generating matrix function; integral representation; fractional integral
MDPI and ACS Style

Bakhet, A.; He, F. On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals. Mathematics 2020, 8, 232.

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