A Boundary Value Problem for Generalized Analytic Functions in Wiener-type Domains

2003 ◽  
Vol 48 (6) ◽  
pp. 513-526 ◽  
Author(s):  
A. Okay Çelebi ◽  
K. Koca
Keyword(s):  
Boundary Value Problem ◽  
Analytic Functions ◽  
Boundary Value ◽  
Generalized Analytic Functions ◽  
Wiener Type

scholarly journals Hilbert boundary value problem for generalized analytic functions with a singular line

2021 ◽  
Vol 274 ◽  
pp. 11003
Author(s):  
Pavel Shabalin ◽  
Rafael Faizov
Keyword(s):  
Boundary Value Problem ◽  
Analytic Functions ◽  
Boundary Value ◽  
Singular Line ◽  
Infinite Index ◽  
Number Of Solutions ◽  
Singular Coefficient ◽  
Generalized Analytic Functions ◽  
Complete Study ◽  
Hilbert Boundary Value Problem

In this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index and a boundary condition on a circle for a generalized Cauchy-Riemann equation with a singular coefficient. To solve this problem, we conducted a complete study of the solvability of the Hilbert boundary value problem of the theory of analytic functions with an infinite index due to a finite number of points of a special type of vorticity. Based on these results, we have derived a formula for the general solution and studied the existence and number of solutions to the boundary value problem of the theory of generalized analytic functions.

Sign in / Sign up

Export Citation Format

Share Document