SOME UNUSUAL GENERATING INTEGRALS INVOLVING HERMITE POLYNOMIALS | ||||
| Al-Azhar Bulletin of Science | ||||
| Article 1, Volume 30, Issue 1-B, June 2019, Page 1-8 PDF (272.66 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/absb.2019.66074 | ||||
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| Author | ||||
Ahmed M. Youssef 
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| Basic Science Department, Banha Faculty of Engineering, Banha University, Banha, Egypt. | ||||
| 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). | ||||
| Keywords | ||||
| Hermite polynomials; Modified Laguerre; Gegenbaur polynomials | ||||
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