Integral Representations for Products of Two Bessel or Modified Bessel Functions

Abstract

The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments. A similar question for a product of modified Bessel functions of the first kind is solved next, when the input functions are of different integer orders and have different arguments.

Keywords

• bessel function of the first kind
• modified bessel function of the first kind
• integral representation of product functions
• chebyshev polynomial of the first kind