Definition of the boundary in the local Charzynski-Tammi conjecture

Autor:	V. G. Gordienko, D. V. Prokhorov
Rok vydání:	2008
Předmět:	Combinatorics Class (set theory) Conjecture Mathematics::Complex Variables General Mathematics Bounded function Holomorphic function Boundary (topology) Function (mathematics) Value (mathematics) Univalent function Mathematics
Zdroj:	Russian Mathematics. 52:51-59
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x08090077
Popis:	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 normalized univalent functions, whose module is bounded byM4.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::95dbc9674590c775da8d3bb359560a4d https://doi.org/10.3103/s1066369x08090077 Zobrazit plný text záznamu Full text from SpringerLink