- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 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.c170027Published 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 Downloads: Full-text PDF