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圆锥区域中涉及 - 赫维茨 - 勒尔奇泽塔算子的星形函数的系数界

Coefficient bounds for starlike functions involving - Hurwitz-Lerch Zeta operator in conic region.

作者信息

Uma K, Vijaya K

机构信息

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore, Tamilnadu, India.

出版信息

Heliyon. 2024 Jun 27;10(13):e33403. doi: 10.1016/j.heliyon.2024.e33403. eCollection 2024 Jul 15.

Abstract

In this paper, we generalize a family of -Hurwitz-Lerch Zeta function by means of constructing and investigating a new family of analytic functions. Some novel findings are discussed like contraction coefficient inequality and other important concepts, some of which are: partial sums, coefficient estimates, subordination results for Janowski starlike functions related with symmetric conic domains.

摘要

在本文中,我们通过构造和研究一个新的解析函数族来推广一族(\alpha -)赫维茨 - 勒奇zeta函数。讨论了一些新颖的发现,如收缩系数不等式和其他重要概念,其中包括:部分和、系数估计、与对称圆锥域相关的扬诺斯基星像函数的从属结果。

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