On the extreme points of subordination families

Jacek Dziok

Annales Polonici Mathematici (2010)

  • Volume: 99, Issue: 1, page 23-37
  • ISSN: 0066-2216

Abstract

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We investigate extreme points of some classes of analytic functions defined by subordination and classes of functions with varying argument of coefficients. By using extreme point theory we obtain coefficient estimates and distortion theorems in these classes of functions. Some integral mean inequalities are also pointed out.

How to cite

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Jacek Dziok. "On the extreme points of subordination families." Annales Polonici Mathematici 99.1 (2010): 23-37. <http://eudml.org/doc/280846>.

@article{JacekDziok2010,
abstract = {We investigate extreme points of some classes of analytic functions defined by subordination and classes of functions with varying argument of coefficients. By using extreme point theory we obtain coefficient estimates and distortion theorems in these classes of functions. Some integral mean inequalities are also pointed out.},
author = {Jacek Dziok},
journal = {Annales Polonici Mathematici},
keywords = {subordination; extreme points},
language = {eng},
number = {1},
pages = {23-37},
title = {On the extreme points of subordination families},
url = {http://eudml.org/doc/280846},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Jacek Dziok
TI - On the extreme points of subordination families
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 23
EP - 37
AB - We investigate extreme points of some classes of analytic functions defined by subordination and classes of functions with varying argument of coefficients. By using extreme point theory we obtain coefficient estimates and distortion theorems in these classes of functions. Some integral mean inequalities are also pointed out.
LA - eng
KW - subordination; extreme points
UR - http://eudml.org/doc/280846
ER -

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