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Some Unusual Generating Integrals Involving Hermite Polynomials
Al_Azhar Bulletin of Science • 2020
Publication Information
Authors
Ahmed M. Youssef
Keywords
Hermite Polynomials, Modified Laguerre,Gegenbauer Polynomials and Charlier Polynomials.
Journal
Al_Azhar Bulletin of Science
Publisher
Ahmed Mahmoud youssef
Volume
30
Issue
1-B
Pages
1-8
publication.type
Local
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper we seek to find some bilateral generating functions for some orthogonal polynomials like Hermite, Charlier, Modified Laguerre and Gegenbaur polynomials. These bilateral generating functions can be obtained with the help of the unusual integral formula for Hermite polynomial seen in equation (1.1).