On a subclass of close-to-convex functions

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2024-05-20 DOI:10.1142/s1793557124500608

Prachi Prajna Dash, J. K. Prajapat

引用次数: 5

Abstract

We note that the class K(O, 0, 0, 0) constitutes a subclass introduced by Bazilevic [3J of the class of close-to-convex functions with the classical normalization. In this note we give a useful representation formula for members of S(p, iP) and we determine the sharp radius of convexity for the functions fez) EK()., a, (3, iP). Finally we establish the sharp upper bound and lower bound of 11'(z) I if fez) EK()., a, (3, iP).

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关于近似凸函数的一个子类

我们注意到 K(O,0,0,0)类是巴齐列维奇[3J]引入的经典归一化近凸函数类的一个子类。在本说明中，我们给出了 S(p, iP) 成员的有用表示公式，并确定了函数 fez) EK()., a, (3, iP) 的尖锐凸半径。最后，我们建立了 11'(z) I 的尖锐上界和下界，如果 fez) EK()., a, (3, iP)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.