Biorthogonal matrix polynomials related to Jacobi matrix polynomials. (English) Zbl 1236.15048

Summary: We define the pair of biorthogonal matrix polynomials suggested by the Jacobi matrix polynomials. Biorthogonality property, matrix generating functions and matrix recurrence relations are given.


15A54 Matrices over function rings in one or more variables
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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