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Generalized Bessel Functions and Lie Algebra Representation

Authors:	Subuhi Khan Ghazala Yasmin

Affiliation:	(1) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

Abstract:	The generalized Bessel functions (GBF) are framed within the context of the representation Q(ω,m₀) of the three-dimensional Lie algebra $mathcal{T}_{3}$ . The analysis has been carried out by generalizing the formalism relevant to Bessel functions. New generating relations and identities involving various forms of GBF are obtained. Certain known results are also mentioned as special cases.Mathematics Subject Classifications (2000) 33C10, 33C80, 33E20.

Keywords:	generalized Bessel functions Lie group Lie algebra representation theory generating relations
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