New Extended Generalized Bateman's Matrix Polynomials
Commun. Korean Math. Soc.
Published online August 31, 2020
mosaed mahmoud makky
eygpt
Abstract : In this paper, we present a study of the generalized Batman's matrix polynomials, where we present different images of this function under the influence of differential operators, from which we obtained partial differential equations has solutions to these functions. Then we presented some different recurrence relationships to the generalized Batman's matrix polynomials of two complex variables as well as we presented a study of the relationship between the Batman's matrix polynomials and the Jacobi matrix polynomials from which we got some recurrence relationships that represent partial differential equations whose solutions are the Batman's matrix polynomials.
Keywords : Bateman's matrix polynomials, differential operator, recurrence relations, Jacobi matrix polynomials, hypergeometric function.
MSC numbers : Primary 33C25, 33C45 Secondary 15A60
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