Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Representation Theory of the Lie Group T3 and Three Index Bessel Functions

  • Received : 2011.07.06
  • Accepted : 2011.09.14
  • Published : 2013.03.23
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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.

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References

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