Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 6, Pages 1251–1270
DOI: https://doi.org/10.1070/IM1969v003n06ABEH000845 (Mi im2233) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The study of the structure of the set of positive deviations of meromorphic functions. I

V. P. Petrenko
English version PDF (636 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1969v003n06ABEH000845
Abstract: This article is devoted to the construction of examples of functions that are meromorphic for $|z|<R$ ($R\leqslant\infty$) and whose set of positive deviations has the power of the continuum. These examples also allow us to expose the essential difference between the set of defect values of R. Nevanlinna and G. Valiron and the set of positive deviations of meromorphic functions.
Received: 26.02.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 6, Pages 1330–1348
Bibliographic databases:
UDC: 517.5
MSC: 30D30, 30D35
Language: English
Original paper language: Russian
Citation: V. P. Petrenko, “The study of the structure of the set of positive deviations of meromorphic functions. I”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969), 1330–1348; Math. USSR-Izv., 3:6 (1969), 1251–1270
Citation in format AMSBIB
\Bibitem{Pet69}
\by V.~P.~Petrenko
\paper The study of the structure of the set of positive deviations of meromorphic functions.~I
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 6
\pages 1330--1348
\mathnet{http://mi.mathnet.ru/im2233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=257363}
\zmath{https://zbmath.org/?q=an:0209.10202}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 6
\pages 1251--1270
\crossref{https://doi.org/10.1070/IM1969v003n06ABEH000845}
Linking options:
  • https://www.mathnet.ru/eng/im2233
  • https://doi.org/10.1070/IM1969v003n06ABEH000845
  • https://www.mathnet.ru/eng/im/v33/i6/p1330
    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:277
    Russian version PDF:69
    English version PDF:3
    References:31
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024