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Research Article

Linear Generating Relations and Hypergeometric Transformations

M
M.I. Qureshi Department of Applied Sciences and Humanities Faculty of Engineering and Technology Jamia Millia Islamia (A Central University) New Delhi - 110025, In
D
Deepak Kumar Kabra* *Department of Mathematics Govt. College Kota, University of Kota Kota, Rajasthan- 324001, India
M
M. S. Baboo** **Department of Applied Sciences and Humanities Knowledge park - III, Sharda University Gr. Noida, U.P. - 301206, India
Volume 4, Issue 1 Pages 25-30 June 30, 2015 208 downloads
Article overview

Abstract

The main object of this paper is to obtain four linear generating relations for generalized Hermite polynomials of Dickinson-Warsi and two hypergeometric transformations for Gauss's ordinary hypergeometric function, using Barr's identity and Carlitz's generating relations.

Keywords and Phrases

Linear generating relationsGeneralized (Associated or Sonine) Laguerre polynomialsGeneralized Hermite polynomialsHypergeometric transformations.

AMS Subject Classification

Primary: 33C45; Secondary: 33C05.

Reference information

How to Cite

M.I. Qureshi, Deepak Kumar Kabra*, M. S. Baboo** (2015). Linear Generating Relations and Hypergeometric Transformations. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 4(1), 25-30.
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