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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 9, Pages 59–68
(Mi ivm1721)
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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
Abstract:
According to the Charzynski–Tammi conjecture, the symmetrized Pick function is extremal in the problem on the estimate for the $n$th Taylor coefficient in the class of holomorphic univalent functions close to the identical one. In this paper we find the exact value of $M_4$ 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 $M_4$.
Keywords:
Charzynski–Tammi conjecture, univalent function, bounded function, extremal problem, Pick function.
Received: 14.07.2006
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
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https://www.mathnet.ru/eng/ivm1721 https://www.mathnet.ru/eng/ivm/y2008/i9/p59
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Abstract page: | 364 | Full-text PDF : | 82 | References: | 67 | First page: | 1 |
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