A New Approach to Non-Local Boundary Value Problem for the Cauchy-Riemann Equation

Authors

  • Nihan A. Aliyev Baku State University, 23 Zahid Khalilov Street, Baku AZ1148, Republic of Azerbaijan.
  • Alexander A. Katz Department of Mathematics & Computer Science, St. John’s College of LAS, St. John’s University, 8000 Utopia Parkway, SJH-334-G, Queens, NY 11439, USA.
  • Metanet B. Mursalova Baku State University, 23 Zahid Khalilov Street, Baku AZ1148, Republic of Azerbaijan.

DOI:

https://doi.org/10.9734/bpi/rumcs/v1/7549B

Keywords:

Cauchy-Riemann equation, solutions which are fundamental with respect to direction, main relation, necessary condition, solution of the boundary problem

Abstract

We present an approach to inverstigation of the solutions of the boundary value problem for the Cauchy-Riemann equation on the curvelinear strip in the real plane. Here the boundary conditions are in the special type and are fundamental with respect to the direction solutions are used. As a result, an analytic form of the solution of considered boundary value problem is obtained.

Published

2024-03-06

How to Cite

Nihan A. Aliyev, Alexander A. Katz, & Metanet B. Mursalova. (2024). A New Approach to Non-Local Boundary Value Problem for the Cauchy-Riemann Equation. Research Updates in Mathematics and Computer Science Vol. 1, 134–142. https://doi.org/10.9734/bpi/rumcs/v1/7549B