Operational rules and a generalized Hermite polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:332

Article

Chaggara, Hamza

关键词: lowering operators;    raising operators;    transfer operators;    quasi-inonomiality;    Brenke polynomials;    generalized hermite polynomials;    Dunkl operator;    connection coefficients;    linearization coefficients;   

DOI  :  10.1016/j.jmaa.2006.09.068

来源: Elsevier

【 摘 要 】

In this paper, we use operational rules associated with three operators corresponding to a generalized Hermite polynomials introduced by Szego to derive, as far as we know, new proofs of some known properties as well as new expansions formulae related to these polynomials. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free