The Generalized Bessel Matrix Polynomials
نویسندگان
چکیده
Abstract.In this paper, the generalized Bessel matrix polynomials are introduced, starting from the hypergeometric matrix function. Integral form, Rodrigues’s formula and generating matrix function are then developed for the generalized Bessel matrix polynomials. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the generalized Bessel matrix polynomials are given. Finally, connections between generalized Bessel matrix polynomials with Laguerre matrix polynomials and Whittaker matrix functions are established.
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