On the class of harmonic mappings which is related to the class of bounded boundary rotation

Yaşar Polatoglu; Melike Aydogan; Yasemin Kahramaner

doi:10.1016/j.amc.2014.10.055

On the class of harmonic mappings which is related to the class of bounded boundary rotation

Yaşar Polatoglu^*, Melike Aydogan, Yasemin Kahramaner

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class ^Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

Original language	English
Pages (from-to)	790-794
Number of pages	5
Journal	Applied Mathematics and Computation
Volume	267
DOIs	https://doi.org/10.1016/j.amc.2014.10.055
Publication status	Published - 15 Sept 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014 Published by Elsevier Inc. All rights reserved.

Keywords

Distortion theorem
Functions with bounded boundary rotation
Growth theorem
Harmonic mapping

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abstract = "The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.",

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AU - Polatoglu, Yaşar

AU - Aydogan, Melike

AU - Kahramaner, Yasemin

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Y1 - 2015/9/15

N2 - The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

AB - The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.

KW - Distortion theorem

KW - Functions with bounded boundary rotation

KW - Growth theorem

KW - Harmonic mapping

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On the class of harmonic mappings which is related to the class of bounded boundary rotation

Abstract

Bibliographical note

Keywords

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