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, 2022, Volume 15, Issue 5, Pages 555–558
DOI: https://doi.org/10.17516/1997-1397-2022-15-5-555-558 (Mi jsfu1021) 		 
Uniqueness of an interpolating entire function with some properties

Aleksandr J. Mkrtchyanab

a Siberian Federal University, Krasnoyarsk, Russian Federation
b Institute of Mathematics, National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia
Full-text PDF (88 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2022-15-5-555-558
Abstract: We consider the problem of power series analytic continuation by coefficients interpolation by entire or meromorphic functions. We prove uniqueness of an interpolating function with some properties. Also, under assumptions of Polya`s theorem about extendability of the sum of power series to the whole complex plane, except, possibly, some boundary arc, we find at least one singular point location.
Keywords: power series, analytic continuation, indicator function.
Funding agency Grant number
Russian Science Foundation 20-11-20117
The research is supported by a grant of the Russian Science Foundation (project no. 20-11-20117).
Received: 19.04.2022
Received in revised form: 23.05.2022
Accepted: 20.06.2022
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Aleksandr J. Mkrtchyan, “Uniqueness of an interpolating entire function with some properties”, J. Sib. Fed. Univ. Math. Phys., 15:5 (2022), 555–558
Citation in format AMSBIB
\Bibitem{Mkr22}
\by Aleksandr~J.~Mkrtchyan
\paper Uniqueness of an interpolating entire function with some properties
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 5
\pages 555--558
\mathnet{http://mi.mathnet.ru/jsfu1021}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-5-555-558}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497562}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1021
  • https://www.mathnet.ru/eng/jsfu/v15/i5/p555
    • 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"
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024