On classes of uniformly starlike functions

Agnieszka Wiśniowska-Wajnryb

Annales Polonici Mathematici (2013)

  • Volume: 108, Issue: 1, page 11-19
  • ISSN: 0066-2216

Abstract

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We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.

How to cite

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Agnieszka Wiśniowska-Wajnryb. "On classes of uniformly starlike functions." Annales Polonici Mathematici 108.1 (2013): 11-19. <http://eudml.org/doc/280384>.

@article{AgnieszkaWiśniowska2013,
abstract = {We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.},
author = {Agnieszka Wiśniowska-Wajnryb},
journal = {Annales Polonici Mathematici},
keywords = {starlike functions; uniformly starlike functions; convex functions; -uniformly convex functions},
language = {eng},
number = {1},
pages = {11-19},
title = {On classes of uniformly starlike functions},
url = {http://eudml.org/doc/280384},
volume = {108},
year = {2013},
}

TY - JOUR
AU - Agnieszka Wiśniowska-Wajnryb
TI - On classes of uniformly starlike functions
JO - Annales Polonici Mathematici
PY - 2013
VL - 108
IS - 1
SP - 11
EP - 19
AB - We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.
LA - eng
KW - starlike functions; uniformly starlike functions; convex functions; -uniformly convex functions
UR - http://eudml.org/doc/280384
ER -

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