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Some miscellaneous properties for Gegenbauer matrix polynomials. (English) Zbl 1293.33007

Summary: The main aim of this paper is to obtain hypergeometric matrix representations and generating matrix function for the Gegenbauer matrix polynomials. Furthermore, multilinear and multilateral generating matrix functions for the Gegenbauer matrix polynomials are derived.

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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