Page 151 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 151
CURRENT TOPICS IN COMPLEX ANALYSIS (MS-32)
Harmonic quasiconformal mappings and hyperbolic type metrics
Vesna Todorcˇevic´, vesna.todorcevic@fon.bg.ac.rs
FON and MI SASA, Serbia
We are going to present results about connections between quasiconformal and harmonic qua-
siconformal mappings and some metrics of hyperbolic type.
Some properties of functions from families of even holomorphic functions
of several complex variables
Edyta Trybucka, eles@ur.edu.pl
Uniwersity of Rzeszów, Poland
In the presentation we will consider some properties of two families of holomorphic functions
defined on bounded complete n-circular domain G of Cn by the evenness (see [3], [5]). For
instance, we present some relationships between considered families and another families in-
vestigated by Bavrin (see [1]), the growth and distortion type theorems for functions belonging
to this families and the estimates of G-balances of homogeneous polynomials.
References
[1] I. I. Bavrin, Classes of regular functions in the case of several complex variables and ex-
tremal problems in that class, Moskov Obl. Ped. Inst., Moscov (1976), 1-99, (in Russian).
[2] R. Długosz, P. Liczberski Some results of Fekete-Szegö type. Results for some holomorphic
functions of several complex variables, Symmetry 2020, 12, 1707.
[3] E. Les´-Bomba, P. Liczberski, On some family of holomorphic functions of several complex
variables, Sci. Bull. Chełm, Sec. Math. and Comput. Sci. 2 (2007), 7-16.
[4] A. A. Temljakov, Integral representation of functions of two complex variables, Izv. Akad.
Nauk SSSR. Ser. Mat. 21 (1957), 89-92, (in Russian).
[5] E. Trybucka, Extremal Problems of Some Family of Holomorphic Functions of Several
Complex Variables, Symmetry – Basel, Vol. 11, Article number: 1304, 2019.
Sharp estimates of the Hankel determinant and of the coefficients for
some classes of univalent functions
Nikola Tuneski, nikola.tuneski@mf.edu.mk
Ss. Cyril and Methodius University in Skopje, North Macedonia
Coauthor: Milutin Obradovic´
In recent times, the problem of finding upper bound, preferably sharp, of the Hankel determinant
for classes of univalent functions, is being rediscovered and attracts significant attention among
the mathematicians working in the field. In that direction, this presentation will provide some
new and improvements of existing results for various classes of univalent functions. Most of
the results are sharp.
149
Harmonic quasiconformal mappings and hyperbolic type metrics
Vesna Todorcˇevic´, vesna.todorcevic@fon.bg.ac.rs
FON and MI SASA, Serbia
We are going to present results about connections between quasiconformal and harmonic qua-
siconformal mappings and some metrics of hyperbolic type.
Some properties of functions from families of even holomorphic functions
of several complex variables
Edyta Trybucka, eles@ur.edu.pl
Uniwersity of Rzeszów, Poland
In the presentation we will consider some properties of two families of holomorphic functions
defined on bounded complete n-circular domain G of Cn by the evenness (see [3], [5]). For
instance, we present some relationships between considered families and another families in-
vestigated by Bavrin (see [1]), the growth and distortion type theorems for functions belonging
to this families and the estimates of G-balances of homogeneous polynomials.
References
[1] I. I. Bavrin, Classes of regular functions in the case of several complex variables and ex-
tremal problems in that class, Moskov Obl. Ped. Inst., Moscov (1976), 1-99, (in Russian).
[2] R. Długosz, P. Liczberski Some results of Fekete-Szegö type. Results for some holomorphic
functions of several complex variables, Symmetry 2020, 12, 1707.
[3] E. Les´-Bomba, P. Liczberski, On some family of holomorphic functions of several complex
variables, Sci. Bull. Chełm, Sec. Math. and Comput. Sci. 2 (2007), 7-16.
[4] A. A. Temljakov, Integral representation of functions of two complex variables, Izv. Akad.
Nauk SSSR. Ser. Mat. 21 (1957), 89-92, (in Russian).
[5] E. Trybucka, Extremal Problems of Some Family of Holomorphic Functions of Several
Complex Variables, Symmetry – Basel, Vol. 11, Article number: 1304, 2019.
Sharp estimates of the Hankel determinant and of the coefficients for
some classes of univalent functions
Nikola Tuneski, nikola.tuneski@mf.edu.mk
Ss. Cyril and Methodius University in Skopje, North Macedonia
Coauthor: Milutin Obradovic´
In recent times, the problem of finding upper bound, preferably sharp, of the Hankel determinant
for classes of univalent functions, is being rediscovered and attracts significant attention among
the mathematicians working in the field. In that direction, this presentation will provide some
new and improvements of existing results for various classes of univalent functions. Most of
the results are sharp.
149
