The generalized Bessel matrix polynomials

Z. M. G. Kishka, A. Shehata, Mohamed Abuldahab

Abstract

In this paper the generalized Bessel matrix polynomials are introduced. An operational relations between a Laguerre matrix polynomials and Wittaker matrix functions are given. A Rodrigues’ formula and The generating function of generalized Bessel matrix polynomials are established. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the generalized Bessel matrix polynomials are given.
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How to Cite this Article

Z. M. G. Kishka, A. Shehata, Mohamed Abuldahab, The generalized Bessel matrix polynomials, J. Math. Comput. Sci., 2 (2012), 305-316

Copyright © 2012 Z. M. G. Kishka, A. Shehata, Mohamed Abuldahab. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.