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, 2011, Number 12, Pages 54–58 (Mi ivm8405)  
On an extreme point conjecture for concave functions

S. Ponnusamya, K.-J. Wirthsb

a Department of Mathematics, Indian Institute of Technology of Madras, Сhennai, India
b Institut für Analysis, Technical University of Braunschweig, Braunschweig, Germany
Full-text PDF (164 kB)
References:
PDF
HTML
Abstract: Let $\mathrm{CO}(A)$, $A\in(1,2]$, denote the family of concave univalent functions in the unit disk $\mathbb D$ with opening angle at infinity bounded by $\pi A$. We prove a weak form of a conjecture on the extreme points of $\mathrm{clco\,CO}(A)$ from the paper in Indian J. Math. 50, 339–349 (2008).
Keywords: concave univalent functions, starlike functions, extreme points.
Received: 12.11.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 12, Pages 44–47
DOI: https://doi.org/10.3103/S1066369X11120061
Bibliographic databases:
Document Type: Article
UDC: 517.546
Language: Russian
Citation: S. Ponnusamy, K.-J. Wirths, “On an extreme point conjecture for concave functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12, 54–58; Russian Math. (Iz. VUZ), 55:12 (2011), 44–47
Citation in format AMSBIB
\Bibitem{PonWir11}
\by S.~Ponnusamy, K.-J.~Wirths
\paper On an extreme point conjecture for concave functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 12
\pages 54--58
\mathnet{http://mi.mathnet.ru/ivm8405}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963463}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 12
\pages 44--47
\crossref{https://doi.org/10.3103/S1066369X11120061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856255798}
Linking options:
  • https://www.mathnet.ru/eng/ivm8405
  • https://www.mathnet.ru/eng/ivm/y2011/i12/p54
    • 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)
    Statistics & downloads:
    Abstract page:230
    Full-text PDF :43
    References:46
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024