Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 3, Pages 78–89
DOI: https://doi.org/10.26907/0021-3446-2023-3-78-89 (Mi ivm9863) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The Riemann problem in a half-plane for generalized analytic functions with a singular line

P. L. Shabalin, R. R. Faizov

Kazan State University of Architecture and Engineering, 1 Zelenaya str., Kazan, 420043 Russia
Full-text PDF (407 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2023-3-78-89
Abstract: In this paper we have studied an inhomogeneous boundary value problem Riemann with a finite index and a boundary condition on the real axis for one generalized Cauchy-Riemann equation with singular coefficients. To solve this problem, we derived a structural formula for the general solution of the generalized equation and conducted a complete study of the solvability of the Riemann boundary value problem of the theory of analytic functions with an infinite index of logarithmic order. Based on the results of this study, we derived a formula for a general solution and studied the existence and number of solutions boundary value problems for generalized analytical functions.
Keywords: Riemann problem, generalized analytic function, infinite index, entire function of given order zero.
Received: 17.06.2022
Revised: 17.06.2022
Accepted: 28.09.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 3, Pages 66–75
DOI: https://doi.org/10.3103/S1066369X23030052
Document Type: Article
UDC: 517.54
Language: Russian
Citation: P. L. Shabalin, R. R. Faizov, “The Riemann problem in a half-plane for generalized analytic functions with a singular line”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 3, 78–89; Russian Math. (Iz. VUZ), 67:3 (2023), 66–75
Citation in format AMSBIB
\Bibitem{ShaFai23}
\by P.~L.~Shabalin, R.~R.~Faizov
\paper The Riemann problem in a half-plane for generalized analytic functions with a singular line
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 3
\pages 78--89
\mathnet{http://mi.mathnet.ru/ivm9863}
\crossref{https://doi.org/10.26907/0021-3446-2023-3-78-89}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 3
\pages 66--75
\crossref{https://doi.org/10.3103/S1066369X23030052}
Linking options:
  • https://www.mathnet.ru/eng/ivm9863
  • https://www.mathnet.ru/eng/ivm/y2023/i3/p78
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025