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Operational rules and a generalized Hermite polynomials
Journal article   Open access  Peer reviewed

Operational rules and a generalized Hermite polynomials

Hamza Chaggara
Journal of mathematical analysis and applications, Vol.332(1), pp.11-21
01/08/2007
DOI: https://doi.org/10.1016/j.jmaa.2006.09.068

Abstract

Brenke polynomials Connection coefficients Dunkl operator Generalized Hermite polynomials Linearization coefficients Lowering operators Quasi-monomiality Raising operators Transfer operators
In this paper, we use operational rules associated with three operators corresponding to a generalized Hermite polynomials introduced by Szegö to derive, as far as we know, new proofs of some known properties as well as new expansions formulae related to these polynomials.
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https://doi.org/10.1016/j.jmaa.2006.09.068View
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