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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 9, Pages 59–68 (Mi ivm1721)  
This article is cited in 1 scientific paper (total in 1 paper)

Definition of a boundary in the local Charzyński-Tammi conjecture

D. V. Prokhorov, V. G. Gordienko

Saratov State University
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Abstract: According to the Charzynski–Tammi conjecture, the symmetrized Pick function is extremal in the problem on the estimate for the nth Taylor coefficient in the class of holomorphic univalent functions close to the identical one. In this paper we find the exact value of M4 such that the symmetrized Pick function is locally extremal in the problem on the estimate for the 4th Taylor coefficient in the class of holomorphic normed univalent functions, whose module is bounded by M4.
Keywords: Charzynski–Tammi conjecture, univalent function, bounded function, extremal problem, Pick function.
Received: 14.07.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 9, Pages 51–59
DOI: https://doi.org/10.3103/S1066369X08090077
Bibliographic databases:
UDC: 517.546
Language: Russian
Citation: D. V. Prokhorov, V. G. Gordienko, “Definition of a boundary in the local Charzyński-Tammi conjecture”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 9, 59–68; Russian Math. (Iz. VUZ), 52:9 (2008), 51–59
Citation in format AMSBIB
\Bibitem{ProGor08}
\by D.~V.~Prokhorov, V.~G.~Gordienko
\paper Definition of a boundary in the local Charzy\'nski-Tammi conjecture
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 9
\pages 59--68
\mathnet{http://mi.mathnet.ru/ivm1721}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2468307}
\zmath{https://zbmath.org/?q=an:1176.30056}
\elib{https://elibrary.ru/item.asp?id=11157585}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 9
\pages 51--59
\crossref{https://doi.org/10.3103/S1066369X08090077}
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  • https://www.mathnet.ru/eng/ivm1721
  • https://www.mathnet.ru/eng/ivm/y2008/i9/p59
    • This publication is cited in the following 1 articles:
    1. V. G. Gordienko, K. A. Samsonova, “Opredelenie granitsy v lokalnoi gipoteze Khazhinskogo–Tammi dlya pyatogo koeffitsienta”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:4(1) (2013), 5–14  mathnet  crossref
    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)
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