Mathematics

On algorithm for solving a model boundary value problem of Carleman type in classes of generalized meta-analytic functions

I. A. Galmukova^a, K. M. Rasulov<sup>b

a</sup> Military Academy named after Marshal of the Soviet Union A.M. Vasilevsky, Smolensk, Russia
^b Smolensk State University, Smolensk, Russia

Abstract: The paper is devoted to the construction of an efficient algorithm for an explicit method for solving a model boundary value problem of the Carleman type for generalized metaanalytic functions in arbitrary simply connected domains. The main essence of the algorithm obtained in the article is that an explicit solution of the problem can be obtained by successively solving two classical Carleman-type boundary value problems in classes of analytic functions of a complex variable.

Keywords: generalized metaanalytic function, Carleman type boundary value problem, explicit solution algorithm.

UDC: 517.968.23

Received: 08.11.2024
Revised: 11.01.2025

DOI: 10.47475/2500-0101-2025-10-4-642-648