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

^*Bu çalışma için yazışmadan sorumlu yazar

Isik University
Istanbul Kultur University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Makale numarası	163
Dergi	Journal of Inequalities and Applications
Hacim	2012
DOI'lar	https://doi.org/10.1186/1029-242X-2012-163
Yayın durumu	Yayınlandı - 2012
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1186/1029-242X-2012-163

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

volume = "2012",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

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T1 - Some properties of starlike harmonic mappings

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

UR - https://www.scopus.com/pages/publications/84873346612

U2 - 10.1186/1029-242X-2012-163

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

M3 - Article

AN - SCOPUS:84873346612

SN - 1025-5834

VL - 2012

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 163

ER -

Some properties of starlike harmonic mappings

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap