Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus-Reference-Cited by-同舟云学术

Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus

Published:2021-06-08 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Abdalla Mohamed¹²^ORCID,Boulaaras Salah Mahmoud³⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

2. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

3. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

4. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran, 31000 Oran, Algeria

Abstract

In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms. In addition, further properties are investigated using fractional calculus operators.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/4065606.pdf

Reference41 articles.

1. Matrix biorthogonal polynomials on the real line: Geronimus transformations;G. Ariznabarreta;Bulletin of mathematical sciences,2019

2. On 2-variables Konhauser matrix polynomials and their fractional integrals;A. Bakhet;Mathematics,2020

3. Matrix valued orthogonal polynomials for Gelfand pairs of rank one;G. Heckman;Tohoku Mathematical Journal,2016

4. A Family of Orthogonal Rational Functions and Other Orthogonal Systems with a skew-Hermitian Differentiation Matrix

5. Lie algebras of matrix difference differential operators and special matrix functions;R. Dwivedi;Advances in Applied Mathematics,2021

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