关于与(j, m)层对称点相关的k-均匀星形凸函数

IF 0.9 Q2 MATHEMATICS Afrika Matematika Pub Date : 2025-01-22 DOI:10.1007/s13370-025-01254-4
Ebrahim Amini, Shrideh Al-Omari
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引用次数: 0

摘要

本文讨论了与圆锥域有关的几个结果和一些一般性质。利用一些圆锥截面,我们引入了一类新的关于(j, m)层对称点\(j=0,1,\ldots ,m-1\)和\(m \in \mathbb {N}\)的解析函数。并在微分从属原理的影响下,构造了若干k-一致凸星形函数。此外,我们导出了给定解析函数类中各种函数的系数界,并在卷积形式下求出了某些充分性准则。除此之外,我们还得到了一些有趣的结果,包括星状函数。
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On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points

In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (jm)-ply symmetric points, \(j=0,1,\ldots ,m-1\) and \(m \in \mathbb {N}\). Also, we formulate certain k-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.

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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
期刊最新文献
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