Aleksandrovich I.M.

The Inversion of the Volterra Integral Equations with the Bessel Function in the Kernel

In this article, we prove the formulas of inversion of integral presentation of pfunctions with characteristic p=eαx and p=eαxyk  (α, k – const > 0). p-analytical functions with these characteristics are closely related to the Helmholtz equation and generalized axisymmetric Helmholtz equation fundamentally used for obtaining the integral presentation of eαxyk analytic functions by arbitrary analytic functions and their inversion formulas.