ScholarLens Back to search
2011•Journal of Inequalities and ApplicationsOpen access

Generalized conditions for starlikeness and convexity of certain analytic functions

Neslihan Uyanık, Shigeyoshi Owa

Open full text 1 citations

Abstract

For analytic functions f(z) in the open unit disk with f (0) = 0 and f '(0) = 1, Nunokawa et al. (Turk J Math 34, 333-337, 2010)have shown some conditions for starlikeness and convexity of f(z). The object of the present paper is to derive some generalized conditions for starlikeness and convexity of functions f(z) with examples. 2010 Mathematics Subject Classification: Primary 30C45.

Open-access reader

About this research paper

What this paper is about

For analytic functions f(z) in the open unit disk with f (0) = 0 and f '(0) = 1, Nunokawa et al. (Turk J Math 34, 333-337, 2010)have shown some conditions for starlikeness and convexity of f(z). The object of the present paper is to derive some generalized conditions for starlikeness and convexity of functions f(z) with examples. 2010 Mathematics Subject Classification: Primary 30C45.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

For analytic functions f(z) in the open unit disk with f (0) = 0 and f '(0) = 1, Nunokawa et al. (Turk J Math 34, 333-337, 2010)have shown some conditions for starlikeness and convexity of f(z). The object of the present paper is to derive some generalized conditions for starlikeness and convexity of functions f(z) with examples. 2010 Mathematics Subject Classification: Primary 30C45.

Key concepts: Convexity, Mathematics, Unit disk, Analytic function, Mathematics Subject Classification, Object (grammar), Pure mathematics, Unit (ring theory)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Generalized conditions for starlikeness and convexity of certain analytic functions — Research Paper | ScholarLens