The sharp version of a criterion for starlikeness related to the operator of Alexander

Róbert Szász

Annales Polonici Mathematici (2008)

  • Volume: 94, Issue: 1, page 1-14
  • ISSN: 0066-2216

Abstract

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The method of convolution is used to determine a sharp condition for starlikeness of analytic functions defined in the unit disc U = {z ∈ ℂ: |z| < 1} and having the property f(0) = f'(0) - 1 = 0. The integral version is given using the Alexander integral operator.

How to cite

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Róbert Szász. "The sharp version of a criterion for starlikeness related to the operator of Alexander." Annales Polonici Mathematici 94.1 (2008): 1-14. <http://eudml.org/doc/280702>.

@article{RóbertSzász2008,
abstract = {The method of convolution is used to determine a sharp condition for starlikeness of analytic functions defined in the unit disc U = \{z ∈ ℂ: |z| < 1\} and having the property f(0) = f'(0) - 1 = 0. The integral version is given using the Alexander integral operator.},
author = {Róbert Szász},
journal = {Annales Polonici Mathematici},
keywords = {starlike function; convolution; Alexander integral operator},
language = {eng},
number = {1},
pages = {1-14},
title = {The sharp version of a criterion for starlikeness related to the operator of Alexander},
url = {http://eudml.org/doc/280702},
volume = {94},
year = {2008},
}

TY - JOUR
AU - Róbert Szász
TI - The sharp version of a criterion for starlikeness related to the operator of Alexander
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 1
SP - 1
EP - 14
AB - The method of convolution is used to determine a sharp condition for starlikeness of analytic functions defined in the unit disc U = {z ∈ ℂ: |z| < 1} and having the property f(0) = f'(0) - 1 = 0. The integral version is given using the Alexander integral operator.
LA - eng
KW - starlike function; convolution; Alexander integral operator
UR - http://eudml.org/doc/280702
ER -

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