Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 38-46
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E. G. Goluzina. Sharp estimates of the first coefficients for a class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 38-46. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/
@article{ZNSL_2015_439_a3,
author = {E. G. Goluzina},
title = {Sharp estimates of the first coefficients for a~class of typically real functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {38--46},
year = {2015},
volume = {439},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/}
}
TY - JOUR
AU - E. G. Goluzina
TI - Sharp estimates of the first coefficients for a class of typically real functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2015
SP - 38
EP - 46
VL - 439
UR - http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/
LA - ru
ID - ZNSL_2015_439_a3
ER -
%0 Journal Article
%A E. G. Goluzina
%T Sharp estimates of the first coefficients for a class of typically real functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2015
%P 38-46
%V 439
%U http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/
%G ru
%F ZNSL_2015_439_a3
Let $T$ be the class of functions $f(z)=z+\sum_{n=2}^\infty c_nz^n$ regular and typically real in the disk $U=|z|<1$. Sharp estimates on the coefficients $c_5$ and $c_6$ in terms of the values $f(r)$, $0, are obtained.
