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Generating matrix functions for Chebyshev matrix polynomials of the second kind. (English) Zbl 1259.33014

Summary: The generating matrix function and recurrence relations for Chebyshev matrix polynomials of the second kind are obtained. Several families of bilinear and bilateral generating matrix-functions for Chebyshev matrix-polynomials of the second kind 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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