论文标题

Al-Oboudi操作员定义的新的K-均匀谐波功能

New class of k-uniformly harmonic functions defined by Al-Oboudi operator

论文作者

Birajdar, G. M., Sangle, N. D.

论文摘要

在本文中,我们使用Al-Oboudi操作员介绍了$ k $ -ush $(u,v,α,λ)$,该操作员是$ k $均匀谐波功能的子类。在本文中也定义和研究了$ k $ -ush $(u,v,α,λ)$的子类$ k $ -uth $(u,v,α,λ)$(u,v,α,λ)$。还研究了属于$ k $ -uth $(u,v,α,λ)$的功能的极端点,失真界限,卷积条件和凸组合。

In this paper, we introduce the class $k$-USH $(u,v,α,λ)$ using Al-Oboudi operator which is a subclass of $k$-uniformly harmonic functions. A subclass $k$-UTH $(u,v,α,λ)$ of $k$-USH $(u,v,α,λ)$ is also been defined and studied in this paper. Extreme points, distortion bounds, convolution condition and convex combination of functions belonging to the class $k$-UTH $(u,v,α, λ)$ are also studied.

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