Some properties of starlike harmonic mappings

Melike Aydog̃an; Arzu Yemisci; Yaşar Polatog̃lu

doi:10.1186/1029-242X-2012-163

Some properties of starlike harmonic mappings

Melike Aydog̃an^*, Arzu Yemisci, Yaşar Polatog̃lu

^*Corresponding author for this work

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

Abstract

A fundamental result of this paper shows that the transformation F=az(h(z+a/1+āz) + g(̄z+a/1+āz))/(h(a)+ ̄g(a)) (z+a)(1+āz) defines a function in S_HS*⁰ whenever f=h(z)+̄g(z) is S_HS*⁰, and we will give an application of this fundamental result.MSC: 30C45, 30C55.

Original language	English
Article number	163
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-163
Publication status	Published - 2012
Externally published	Yes

Keywords

distortion theorem
growth theorem
harmonic starlike function

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10.1186/1029-242X-2012-163

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title = "Some properties of starlike harmonic mappings",

abstract = "A fundamental result of this paper shows that the transformation F=az(h(z+a/1+āz) + g{\=(}z+a/1+āz))/(h(a)+{\= }g(a)) (z+a)(1+āz) defines a function in SHS*0 whenever f=h(z){\=+}g(z) is SHS*0, and we will give an application of this fundamental result.MSC: 30C45, 30C55.",

keywords = "distortion theorem, growth theorem, harmonic starlike function",

author = "Melike Aydo{\~g}an and Arzu Yemisci and Ya{\c s}ar Polato{\~g}lu",

year = "2012",

doi = "10.1186/1029-242X-2012-163",

language = "English",

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journal = "Journal of Inequalities and Applications",

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AU - Aydog̃an, Melike

AU - Yemisci, Arzu

AU - Polatog̃lu, Yaşar

PY - 2012

Y1 - 2012

N2 - A fundamental result of this paper shows that the transformation F=az(h(z+a/1+āz) + g(̄z+a/1+āz))/(h(a)+ ̄g(a)) (z+a)(1+āz) defines a function in SHS*0 whenever f=h(z)+̄g(z) is SHS*0, and we will give an application of this fundamental result.MSC: 30C45, 30C55.

AB - A fundamental result of this paper shows that the transformation F=az(h(z+a/1+āz) + g(̄z+a/1+āz))/(h(a)+ ̄g(a)) (z+a)(1+āz) defines a function in SHS*0 whenever f=h(z)+̄g(z) is SHS*0, and we will give an application of this fundamental result.MSC: 30C45, 30C55.

KW - distortion theorem

KW - growth theorem

KW - harmonic starlike function

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DO - 10.1186/1029-242X-2012-163

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VL - 2012

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 163

ER -

Some properties of starlike harmonic mappings

Abstract

Keywords

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