SOME UNUSUAL GENERATING INTEGRALS INVOLVING HERMITE POLYNOMIALS

Authors

Ahmed Youssef, Basic Science Department, Banha Faculty of Engineering, Banha University, Banha, Egypt.Follow

Corresponding Author

Youssef, Ahmed

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Hermite polynomials; Modified Laguerre; Gegenbaur polynomials

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).

How to Cite This Article

Youssef, Ahmed (2019) "SOME UNUSUAL GENERATING INTEGRALS INVOLVING HERMITE POLYNOMIALS," Al-Azhar Bulletin of Science: Vol. 30: Iss. 1, Article 3.
DOI: https://doi.org/10.21608/absb.2019.66074