TY - JOUR
AU - Shilin, I. A.
AU - Choi, J.
PY - 2017
TI - Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal \(3\times 3\)-matrices
JO - Journal of Nonlinear Sciences and Applications
SP - 560--574
VL - 10
IS - 2
AB - The authors derive the matrix elements of the linear operators which appear under the representation of the group SO(2, 1)
and correspond to some diagonal or block-diagonal matrices belonging to the above group. Then, by applying these matrix
elements, that is, from a group theoretical point of view, the authors show how certain interesting integral and series representations
of the Whittaker function of the second kind and some formulas for the (basic and modified) Bessel functions can be
obtained. A special case of one of the results presented here is indicated to be also a special one of a known formula.
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.010.02.20
DO - 10.22436/jnsa.010.02.20
ID - Shilin2017
ER -