Some inequalities which hold for starlike log-harmonic mappings of order α

H. Esra Özkan; Melike Aydogan

Some inequalities which hold for starlike log-harmonic mappings of order α

H. Esra Özkan^*, Melike Aydogan

^*Corresponding author for this work

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

Abstract

where w(z) ∈ H(D) is second dilatation such that |w(z)| < 1 for all z ∈ D.

Let H(D) be the linear space of all analytic functions defined on the open disc D = {z| |z| < 1}.

where h(z) and g(z) are analytic function in D.

where Re(Formula presented) , h and g are analytic in D, g(0) = 1, h(0) ≠ 0. Let 2 f = z |z|^2β hg be a univalent log-harmonic mapping.

Original language	English
Pages (from-to)	478-485
Number of pages	8
Journal	Journal of Computational Analysis and Applications
Volume	16
Issue number	3
Publication status	Published - 2014
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014 by Eudoxus Press,LLC,all rights reserved.

Keywords

Distortion theorem
Marx-Strohhacker inequality
Starlike log-harmonic functions
Univalent functions

Cite this

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title = "Some inequalities which hold for starlike log-harmonic mappings of order α",

abstract = "where w(z) ∈ H(D) is second dilatation such that |w(z)| < 1 for all z ∈ D.Let H(D) be the linear space of all analytic functions defined on the open disc D = {z| |z| < 1}.where h(z) and g(z) are analytic function in D.where Re(Formula presented) , h and g are analytic in D, g(0) = 1, h(0) ≠ 0. Let 2 f = z |z|2β hg be a univalent log-harmonic mapping.",

keywords = "Distortion theorem, Marx-Strohhacker inequality, Starlike log-harmonic functions, Univalent functions",

author = "{Esra {\"O}zkan}, H. and Melike Aydogan",

year = "2014",

language = "English",

volume = "16",

pages = "478--485",

journal = "Journal of Computational Analysis and Applications",

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AB - where w(z) ∈ H(D) is second dilatation such that |w(z)| < 1 for all z ∈ D.Let H(D) be the linear space of all analytic functions defined on the open disc D = {z| |z| < 1}.where h(z) and g(z) are analytic function in D.where Re(Formula presented) , h and g are analytic in D, g(0) = 1, h(0) ≠ 0. Let 2 f = z |z|2β hg be a univalent log-harmonic mapping.

KW - Distortion theorem

KW - Marx-Strohhacker inequality

KW - Starlike log-harmonic functions

KW - Univalent functions

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JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 3

ER -

Some inequalities which hold for starlike log-harmonic mappings of order α

Abstract

Bibliographical note

Keywords

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