Multiplication theorems for multi-variable and multi-index Bessel functions

Abstract

In this article, we derive multiplication theorems for the 3-variable 2-parameter Bessel functions J n (λx, µy, νz; τ 1 , τ 2 ) and 2-index 5-variable 3-parameter Bessel functions J m,n (λx, µy, νz, ηw, βh; τ 1 , τ 2 , τ 3 ) using the generating function method. Further, we derive multiplication theorems for functions related to J n (λx, µy, νz; τ 1 , τ 2 ) and J m,n (λx, µy, νz, ηw, βh; τ 1 , τ 2 , τ 3 ). Furthermore, we establish a multiplication theorem for N-index Bessel functions J m1,m2.....m N (λx).