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

Altın, Abdullah; Çekim, Bayram

Hacet. J. Math. Stat. 41, No. 1, 25-32 (2012).

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

Keywords:

Chebyshev matrix polynomials of the second kind; generating matrix function; recurrence relation