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

Chaudhary Wali Mohd.; M.I. Qureshi; Deepak Kumar Kabra; Shabana Khan

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

Volume 13, Issue 2 Pages 27-36 October 31, 2017 235 downloads

Article overview

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 formulaClassical Hermite’s polynomialsDecomposition technique.

AMS Subject Classification

Primary: 33C45; Secondary: 33C05.

Reference information

How to Cite

Chaudhary Wali Mohd., M.I. Qureshi, Deepak Kumar Kabra, Shabana Khan (2017). SOME BILINEAR GENERATING RELATIONS INVOLVING CLASSICAL HERMITE POLYNOMIALS VIA MEHLER’S FORMULA. South East Asian Journal of Mathematics and Mathematical Sciences, 13(2), 27-36.

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