SOME BILINEAR GENERATING RELATIONS INVOLVING CLASSICAL HERMITE POLYNOMIALS VIA MEHLER’S FORMULA

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 148

Volume : 13 , Issue : 2
DOI:
Author :
Chaudhary Wali Mohd. (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, I)
M.I. Qureshi (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, I)
Deepak Kumar Kabra (Department of Basic & Applied Sciences, M. L. V. Textile & Engineering College, Bhilwara, Rajasthan-311001, INDIA.)
Shabana Khan (Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi-110025, I)

Abstract

In this paper, using series decomposition technique in Mehler’s formula, we obtain some bilinear generating relations associated with classical Hermite’s polynomials of even and odd degree.

Keywords and Phrases

Mehler’s formula, Classical Hermite’s polynomials, Decomposition technique.

A.M.S. subject classification

Primary: 33C45; Secondary: 33C05.

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