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http://dx.doi.org/10.5666/KMJ.2013.53.1.143

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

Pathan, Mahmood Ahmad (Department of Mathematics, University of Botswana)
Shahwan, Mohannad Jamal Said (Department of Mathematics, University of Bahrain)
Publication Information
Kyungpook Mathematical Journal / v.53, no.1, 2013 , pp. 143-148 More about this Journal
Abstract
The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $T_3$ 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;
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