Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc

Polatoğlu, Yaşar

Fractional Calculus and Applied Analysis (2010)

  • Volume: 13, Issue: 5, page 537-544
  • ISSN: 1311-0454

Abstract

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MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.

How to cite

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Polatoğlu, Yaşar. "Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc." Fractional Calculus and Applied Analysis 13.5 (2010): 537-544. <http://eudml.org/doc/219534>.

@article{Polatoğlu2010,
abstract = {MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.},
author = {Polatoğlu, Yaşar},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Harmonic Functions; Growth Theorem; Distortion Theorem; harmonic functions; growth theorem; distortion theorem},
language = {eng},
number = {5},
pages = {537-544},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc},
url = {http://eudml.org/doc/219534},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Polatoğlu, Yaşar
TI - Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 5
SP - 537
EP - 544
AB - MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.
LA - eng
KW - Harmonic Functions; Growth Theorem; Distortion Theorem; harmonic functions; growth theorem; distortion theorem
UR - http://eudml.org/doc/219534
ER -

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