Differential equations for certain hybrid special matrix polynomials-Reference-Cited by-同舟云学术

Differential equations for certain hybrid special matrix polynomials

Published:2022-12-24 Issue: Volume:41 Page:1-10
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Nahid Tabinda^ORCID,Khan Subuhi^ORCID

Abstract

The main aim of this article is to find the matrix recurrence relation and shift operators for the Gould-Hopper-Laguerre-Appell matrix polynomials. The matrix differential, matrix integro-differential and matrix partial differential equations are derived for these polynomials via factorization method. Certain examples are constructed in order to illustrate the applications of the results.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference12 articles.

1. Cekim, B. and Aktas, R., Multivariable matrix generalization of Gould-Hopper polynomials, Miskolc Math. Notes 16, 79-89, (2015).

2. Constantine, A. G. and Muirhead, R. J., Partial differential equations for hypergeometric functions of two argument matrix, J. Mult. Anal. 2, 332-338, (1972).

3. He, M. X. and Ricci, P. E., Differential equation of Appell polynomials via the factorization method, J. Comput. Appl. Math. 139, 231-237, (2002).

4. Infeld, L. and Hull, T. E., The factorization method, Rev. Mod. Phys. 23, 21-68, (1951).

5. Khan, S. and Nahid, T., Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials, Mathematics 6, 1-16, (2018).

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