Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
Fractional calculus and applied analysis, Tome 13 (2010) no. 5, pp. 537-544
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
One 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.
Keywords:
Harmonic Functions, Growth Theorem, Distortion Theorem
@article{FCAA_2010_13_5_a8,
author = {Polato\u{g}lu, Ya\c{s}ar},
title = {Some {Growth} and {Distortion} {Theorems} for {Close-to-Convex} {Harmonic} {Functions} in the {Unit} {Disc}},
journal = {Fractional calculus and applied analysis},
pages = {537--544},
publisher = {mathdoc},
volume = {13},
number = {5},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_5_a8/}
}
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 SP - 537 EP - 544 VL - 13 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FCAA_2010_13_5_a8/ LA - en ID - FCAA_2010_13_5_a8 ER -
Polatoğlu, Yaşar. Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc. Fractional calculus and applied analysis, Tome 13 (2010) no. 5, pp. 537-544. http://geodesic.mathdoc.fr/item/FCAA_2010_13_5_a8/