Representation Theory of the Lie Group T_{3} and Three Index Bessel Functions

- Journal title : Kyungpook mathematical journal
- Volume 53, Issue 1, 2013, pp.143-148
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2013.53.1.143

Title & Authors

Representation Theory of the Lie Group T_{3} and Three Index Bessel Functions

Pathan, Mahmood Ahmad; Shahwan, Mohannad Jamal Said;

Pathan, Mahmood Ahmad; Shahwan, Mohannad Jamal Said;

Abstract

The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group as suggested by Miller. This point of view provides more efficient tools which allow the derivation of generating functions of generalized Bessel functions. A few special cases of interest are also discussed.

Keywords

Generalized Bessel functions;local Lie group;generating functions;

Language

English

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