Proceedings of the Institute of Mathematics and Mechanics, vol.50, no.2, pp.242-248, 2024 (ESCI)
The perturbed modified Bessel equation on the entire axis is considered. By means of transformation operator an integral representation of the Jost-type solution is found. An estimate is obtained with respect to the kernel of the transformation operator. A connection is established between the kernel of the integral representation and the perturbation potential.