Estimates on some functionals over non-linear resolvents
Filomat, Tome 37 (2023) no. 3, p. 797
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Estimation of linear and quadratic functionals over different classes of univalent functions is one of the classical problems in geometric function theory. In this paper we solve the problem over some classes of so-called non-linear resolvents, which arise as a fruitful tool in dynamic systems. Sharp estimates on early Taylor coefficients and the Fekete-Szegö functional are established.
Classification :
30C50, 30A10
Keywords: Non-linear resolvent, Fekete-Szegö problem, Coefficient estimates, Semi-complete vector field, Subordination
Keywords: Non-linear resolvent, Fekete-Szegö problem, Coefficient estimates, Semi-complete vector field, Subordination
Mark Elin; Fiana Jacobzon. Estimates on some functionals over non-linear resolvents. Filomat, Tome 37 (2023) no. 3, p. 797 . doi: 10.2298/FIL2303797E
@article{10_2298_FIL2303797E,
author = {Mark Elin and Fiana Jacobzon},
title = {Estimates on some functionals over non-linear resolvents},
journal = {Filomat},
pages = {797 },
year = {2023},
volume = {37},
number = {3},
doi = {10.2298/FIL2303797E},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303797E/}
}
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