A family of series and integrals involving Whittaker, Bessel functions, and their products derivable from the representation of the group $SO(2,1)$
Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 999-1008
https://doi.org/10.4134/CKMS.c170027
Published online October 31, 2017
Junesang Choi, I. A. Shilin
Dongguk University, Moscow State Pedagogical University
Abstract : By mainly using certain properties arising from the semisimple Lie group $SO(2,1)$, we aim to show how a family of some interesting formulas for bilateral series and integrals involving Whittaker, Bessel functions, and their product can be obtained.
Keywords : Whittaker function, Bessel functions, Macdonald function, semisimple Lie group $SO(2,1)$, Cartan decomposition, matrix elements of representation
MSC numbers : Primary 33C10, 33C80; Secondary 33B15, 33C05
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