分数阶微积分在一类负系数多价解析函数上的应用

A. Wanas, S. Mahmood
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摘要

本文的目的是研究分数阶演算技术在开单位圆盘上对一类负系数多价解析函数𝑀𝑅(𝑝,𝑚,ρ, ρ, ρ)的应用。给出了分数阶导数和分数阶积分的畸变定理。此外,我们还得到了系数不等式、邻域性质和星形和凸性半径的结果
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients
The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity
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