E3S Web Conf.
Volume 274, 20212nd International Scientific Conference on Socio-Technical Construction and Civil Engineering (STCCE – 2021)
|Number of page(s)
|Technological Complexes and Automated Systems in Construction, and Mechanical Engineering
|18 June 2021
Hilbert boundary value problem for generalized analytic functions with a singular line
Kazan State University of Architecture and Engineering, 420043 Kazan, Russia
* Corresponding author: email@example.com
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.
Key words: Generalized analytical functions / Hilbert problem / infinite index / refined zero-order whole functions
© The Authors, published by EDP Sciences, 2021
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