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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2009; 46(6): 1277-1292

Printed November 1, 2009

https://doi.org/10.4134/JKMS.2009.46.6.1277

Copyright © The Korean Mathematical Society.

Generating relations involving 3-variable 2-parameter Tricomi functions using Lie-algebraic techniques

Subuhi Khan, Mumtaz Ahmad Khan, and Rehana Khan

Aligarh Muslim University, Aligarh Muslim University, and Aligarh Muslim University

Abstract

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This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.

Keywords: generalized Tricomi functions, Lie-algebra representation, generating relations

MSC numbers: 33C10, 33C80, 33E20

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