Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2025, Volume 18, Issue 5, Pages 655–662 (Mi jsfu1277)  
On the algebraic properties of analytic functions of two variables

Valeriy K. Beloshapkaab

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
b Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (115 kB)
Abstract: The study of analytic functions of two variables up to the action of functions of one variable (gauge pseudogroup) naturally leads to a discussion of the arithmetic properties of functions of two variables (binary operations) up to such an action. In this note, the properties of commutativity and associativity are discussed.
Keywords: analytical functions, superpositions, analytical complexity, commutativity, associativity.
Received: 10.03.2025
Received in revised form: 20.05.2025
Accepted: 14.06.2025
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Valeriy K. Beloshapka, “On the algebraic properties of analytic functions of two variables”, J. Sib. Fed. Univ. Math. Phys., 18:5 (2025), 655–662
Citation in format AMSBIB
\Bibitem{Bel25}
\by Valeriy~K.~Beloshapka
\paper On the algebraic properties of analytic functions of two variables
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2025
\vol 18
\issue 5
\pages 655--662
\mathnet{http://mi.mathnet.ru/jsfu1277}
\edn{https://elibrary.ru/RMDZEY}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1277
  • https://www.mathnet.ru/eng/jsfu/v18/i5/p655
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:96
    Full-text PDF :101
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026