Some properties concerning close-to-convexity of certain analytic functions

Mamoru Nunokawa; Melike Aydog̃an; Kazuo Kuroki; Ismet Yildiz; Shigeyoshi Owa

doi:10.1186/1029-242X-2012-245

Some properties concerning close-to-convexity of certain analytic functions

Mamoru Nunokawa, Melike Aydog̃an^*, Kazuo Kuroki, Ismet Yildiz, Shigeyoshi Owa

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Let f (z) be an analytic function in the open unit disk D normalized with f (0) = 0 and f '(0) = 1. With the help of subordinations, for convex functions f (z ) in D, the order of close-to-convexity for f (z) is discussed with some example.

Original language	English
Article number	245
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-245
Publication status	Published - Oct 2012
Externally published	Yes

Keywords

Analytic
Close-to-convex
Convex
Starlike
Subordination

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10.1186/1029-242X-2012-245

Cite this

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title = "Some properties concerning close-to-convexity of certain analytic functions",

abstract = "Let f (z) be an analytic function in the open unit disk D normalized with f (0) = 0 and f '(0) = 1. With the help of subordinations, for convex functions f (z ) in D, the order of close-to-convexity for f (z) is discussed with some example.",

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author = "Mamoru Nunokawa and Melike Aydo{\~g}an and Kazuo Kuroki and Ismet Yildiz and Shigeyoshi Owa",

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AU - Aydog̃an, Melike

AU - Kuroki, Kazuo

AU - Yildiz, Ismet

AU - Owa, Shigeyoshi

PY - 2012/10

Y1 - 2012/10

N2 - Let f (z) be an analytic function in the open unit disk D normalized with f (0) = 0 and f '(0) = 1. With the help of subordinations, for convex functions f (z ) in D, the order of close-to-convexity for f (z) is discussed with some example.

AB - Let f (z) be an analytic function in the open unit disk D normalized with f (0) = 0 and f '(0) = 1. With the help of subordinations, for convex functions f (z ) in D, the order of close-to-convexity for f (z) is discussed with some example.

KW - Analytic

KW - Close-to-convex

KW - Convex

KW - Starlike

KW - Subordination

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DO - 10.1186/1029-242X-2012-245

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

Some properties concerning close-to-convexity of certain analytic functions

Abstract

Keywords

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