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Generalized Bessel Functions and Lie Algebra Representation

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Abstract

The generalized Bessel functions (GBF) are framed within the context of the representation Q(ω,m 0) 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.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Subuhi Khan & Ghazala Yasmin

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  1. Subuhi Khan
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  2. Ghazala Yasmin
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Correspondence to Subuhi Khan.

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Mathematics Subject Classifications (2000)

33C10, 33C80, 33E20.

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Khan, S., Yasmin, G. Generalized Bessel Functions and Lie Algebra Representation. Math Phys Anal Geom 8, 299–313 (2006). https://doi.org/10.1007/s11040-005-2969-3

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  • DOI: https://doi.org/10.1007/s11040-005-2969-3

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