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Open AccessArticle

Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables

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Centre of Mathematics and Physics, Lodz University of Technology, Ul. Żwirki 36, 90-924 Łódź, Poland
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Institute of Mathematics, Lodz University of Technology, Ul. Żwirki 36, 90-924 Łódź, Poland
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(10), 1707; https://doi.org/10.3390/sym12101707
Received: 29 August 2020 / Revised: 2 October 2020 / Accepted: 9 October 2020 / Published: 16 October 2020
(This article belongs to the Special Issue Symmetry in Geometric Functions and Mathematical Analysis)
This paper is devoted to a generalization of the well-known Fekete-Szegö type coefficients problem for holomorphic functions of a complex variable onto holomorphic functions of several variables. The considerations concern three families of such functions f, which are bounded, having positive real part and which Temljakov transform Lf has positive real part, respectively. The main result arise some sharp estimates of the Minkowski balance of a combination of 2-homogeneous and the square of 1-homogeneous polynomials occurred in power series expansion of functions from aforementioned families. View Full-Text
Keywords: holomorphic functions of scv; n-circular domains in ℂn%; minkowski function; fekete-Szegö type estimates holomorphic functions of scv; n-circular domains in ℂn%; minkowski function; fekete-Szegö type estimates
MDPI and ACS Style

Długosz, R.; Liczberski, P. Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables. Symmetry 2020, 12, 1707.

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