On linearization and connection coefficients for generalized Hermite polynomials. (English) Zbl 1231.33010

Chaggara, Hamza; Koepf, Wolfram

J. Comput. Appl. Math. 236, No. 1, 65-73 (2011).

Summary: We consider the problem of finding explicit formulas, recurrence relations and sign properties for both connection and linearization coefficients for generalized Hermite polynomials. Most of the computations are carried out by the computer algebra system Maple using appropriate algorithms.

MSC:

33C45	Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
65D20	Computation of special functions and constants, construction of tables

Keywords:

generalized Hermite polynomials; linearization coefficients; connection coefficients; multiple summation; multsum package

Software:

Maple

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