On linearization and connection coefficients for generalized Hermite polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Chaggara, Hamza¹  Koepf, Wolfram² 

[1] Ecole Super Sci & Technol Hammam Sousse, Dept Math, Sousse, Tunisia

[2] Univ Kassel, Fachbereich Math, D-34109 Kassel, Germany

关键词: Generalized Hermite polynomials;    Linearization coefficients;    Connection coefficients;    Multiple summation;    Multsum package;   

DOI  :  10.1016/j.cam.2011.03.010

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free