Extensions of sufficient conditions for starlikeness and convexity of order α

Neslihan Uyank; Melike Aydogan; Shigeyoshi Owa

doi:10.1016/j.aml.2011.03.018

Extensions of sufficient conditions for starlikeness and convexity of order α

Neslihan Uyank
, Melike Aydogan
, Shigeyoshi Owa^*

^*Bu çalışma için yazışmadan sorumlu yazar

Ataturk University
Yeniyuzyil University
Kindai University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

9 Atıf (Scopus)

Özet

For analytic functions f(z) in the open unit disk U, there are many sufficient conditions for f(z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117124], some extensions of sufficient conditions for f(z) to be starlike of order α and to be convex of order α are discussed.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1393-1399
Sayfa sayısı	7
Dergi	Applied Mathematics Letters
Hacim	24
Basın numarası	8
DOI'lar	https://doi.org/10.1016/j.aml.2011.03.018
Yayın durumu	Yayınlandı - Ağu 2011
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1016/j.aml.2011.03.018

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Extensions of sufficient conditions for starlikeness and convexity of order α",

abstract = "For analytic functions f(z) in the open unit disk U, there are many sufficient conditions for f(z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117124], some extensions of sufficient conditions for f(z) to be starlike of order α and to be convex of order α are discussed.",

keywords = "Analytic, Convex of order α, Starlike of order α, Univalent",

author = "Neslihan Uyank and Melike Aydogan and Shigeyoshi Owa",

year = "2011",

month = aug,

doi = "10.1016/j.aml.2011.03.018",

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T1 - Extensions of sufficient conditions for starlikeness and convexity of order α

AU - Uyank, Neslihan

AU - Aydogan, Melike

AU - Owa, Shigeyoshi

PY - 2011/8

Y1 - 2011/8

N2 - For analytic functions f(z) in the open unit disk U, there are many sufficient conditions for f(z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117124], some extensions of sufficient conditions for f(z) to be starlike of order α and to be convex of order α are discussed.

AB - For analytic functions f(z) in the open unit disk U, there are many sufficient conditions for f(z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117124], some extensions of sufficient conditions for f(z) to be starlike of order α and to be convex of order α are discussed.

KW - Analytic

KW - Convex of order α

KW - Starlike of order α

KW - Univalent

UR - https://www.scopus.com/pages/publications/79955473968

U2 - 10.1016/j.aml.2011.03.018

DO - 10.1016/j.aml.2011.03.018

M3 - Article

AN - SCOPUS:79955473968

SN - 0893-9659

VL - 24

SP - 1393

EP - 1399

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 8

ER -

Extensions of sufficient conditions for starlikeness and convexity of order α

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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Alıntı Yap