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^*

^*Corresponding author for this work

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

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1393-1399
Number of pages	7
Journal	Applied Mathematics Letters
Volume	24
Issue number	8
DOIs	https://doi.org/10.1016/j.aml.2011.03.018
Publication status	Published - Aug 2011
Externally published	Yes

Keywords

Analytic
Convex of order α
Starlike of order α
Univalent

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AU - Aydogan, Melike

AU - Owa, Shigeyoshi

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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

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ER -

Extensions of sufficient conditions for starlikeness and convexity of order α

Abstract

Keywords

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