Notes on harmonic functions for which the second dilatation is α - Spiral

Melike Aydogan

Notes on harmonic functions for which the second dilatation is α - Spiral

Melike Aydogan^*

^*Bu çalışma için yazışmadan sorumlu yazar

Isik University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

Özet

In this study, we consider, f = h + ḡ harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S*_HPST (α; β) We introduce this new class as defined in the following form, (Formula Presented.). We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1111-1121
Sayfa sayısı	11
Dergi	Journal of Computational Analysis and Applications
Hacim	18
Basın numarası	6
Yayın durumu	Yayınlandı - Haz 2015
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2015 EUDOXUS PRESS, LLC.

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "In this study, we consider, f = h + ḡ harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S*HPST (α; β) We introduce this new class as defined in the following form, (Formula Presented.). We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.",

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N2 - In this study, we consider, f = h + ḡ harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S*HPST (α; β) We introduce this new class as defined in the following form, (Formula Presented.). We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.

AB - In this study, we consider, f = h + ḡ harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S*HPST (α; β) We introduce this new class as defined in the following form, (Formula Presented.). We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.

KW - Coefficient inequality

KW - Distortion theorem

KW - Growth theorem

KW - Harmonic functions

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M3 - Article

AN - SCOPUS:85050092057

SN - 1521-1398

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SP - 1111

EP - 1121

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 6

ER -

Notes on harmonic functions for which the second dilatation is α - Spiral

Özet

Bibliyografik not

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