Reverse generalized Bessel matrix differential equation,polynomial solutions,and their properties |
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| Authors: | M. Abul‐Dahab M. Abul‐Ez Z. Kishka D. Constales |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt;2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt;3. Department of Mathematics Analysis, Ghent University, B‐9000Ghent, Belgium |
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| Abstract: | This paper is devoted to the study of reverse generalized Bessel matrix polynomials (RGBMPs) within complex analysis. This study is assumed to be a generalization and improvement of the scalar case into the matrix setting. We give a definition of the reverse generalized Bessel matrix polynomials Θn(A; B; z),  , for parameter (square) matrices A and B, and provide a second‐order matrix differential equations satisfied by these polynomials. Subsequently, a Rodrigues‐type formula, a matrix recurrence relationship, and a pseudo‐generating function are then developed for RGBMPs. © 2013 The Authors Mathematical Methods in the Applied Sciences Published by John Wiley & Sons, Ltd. |
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| Keywords: | generalized Bessel matrix polynomials Bessel matrix differential equation matrix functional calculus |
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