由Touchard多项式生成的积分算子在调和函数子类中的应用

Khalifa Alshaqsi
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引用次数: 0

摘要

设SH表示在统一盘U = {z: |z| < 1}中调和一元保理函数f = h + g,其中h(z) = z +P∞k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1)。本文利用某些涉及Touchard多项式的积分算子建立了调和一元函数各子类之间的联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of Integral Operator Generated by Touchard Polynomials to Certain Subclasses of Harmonic Functions
Let SH denote the class of functions f = h + g which are harmonic univalent and sense-preserving in the unite disk U = {z : |z| < 1} where h(z) = z +P∞ k=2 akzk, g(z) =∞Pk=1 bkzk (|b1| < 1). In this paper we establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Touchard Polynomials.
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