An inversion formula for the kernel Kv(x)

Abstract

AbstractThe problem discussed is that of solving the integral equationwhere g(x) is given, Kv(z) is associated with Bessel functions of purely imaginary argument and f(x) is to be determined.I prove that, by means of fractional integration, it is possible to reduce this equation to the form of a Laplace transform which can be solved by known methods.