Analytical and numerical results onM-variable generalized Bessel functions

Recently, some multivariable special functions have been obtained by generalizing functions of Bessel type. Here, we continue the treatment of these functions starting fromJ_n(x, y; i), which is of noticeable practical interest. Finally, we consider the cases of functionsJ_n(x₁, x₂,..., x_M) and the related modified version,I_n(x₁, x₂,..., x_M), with two significant physical applications. Calculations of multivariable generalized Bessel functions are discussed and numerical results are given forJ_n(x₁,x₂;i), withn=0, 1, in a region of interest.