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Certain Generating Matrix Relations of Generalized Bessel Matrix Polynomials from the View Point of Lie Algebra Method

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The main objective of the present paper is to derive the integral representation, matrix recurrence relations and matrix differential recurrence relations for the generalized Bessel matrix polynomials. Furthermore, we obtain… Click to show full abstract

The main objective of the present paper is to derive the integral representation, matrix recurrence relations and matrix differential recurrence relations for the generalized Bessel matrix polynomials. Furthermore, we obtain a class of generating matrix functions for the generalized Bessel matrix polynomials by using the representation of a Lie group theory with the aid of Weisner’s method. Some particular cases of interest as well as the applications of our results are also presented.

Keywords: generalized bessel; matrix; relations generalized; matrix polynomials; bessel matrix

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018

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