Representation Theory of the Lie Group T3 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 T3 and Three Index Bessel Functions

Abstract
The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $\small{T_3}$ 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
Cited by
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