An extension of Nunokawa lemma and its example

TL;DR

This paper extends Nunokawa lemma for analytic functions in the unit disk, providing a new result and an example to illustrate its application, thereby enriching the theoretical framework of complex analysis.

Contribution

The paper introduces an extension of Nunokawa lemma and demonstrates its application through a specific example, advancing the understanding of analytic functions.

Findings

Extended Nunokawa lemma derived

Provided an illustrative example of the extended lemma

Enhanced theoretical tools for complex analysis

Abstract

For analytic functions p(z) in the open unit disk U with p(0)=1, Nunokwa has given a result which called Nunokawa lemma (Proc. Japan Acad., Ser. A 68 (1992)). By studying Nunokawa lemma, we obtain this expansion. In this paper, we introduce this result and its example.