一类调和一元亚纯函数的部分和

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/RF.2014.1

M. Aouf, R. El-Ashwah, J. Dziok, J. Stankiewicz

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引用次数: 1

摘要

本文确定了调和一元亚纯函数与其部分和序列之比的实部的尖锐下界。设H表示在U =;fz:jzj > 1g范围内调和一元保持意义的一类函数f，其形式为

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Partial sums of a certain harmonic univalent meromorphic functions

In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let H denote the class of functions f that are harmonic univalent and sense-preserving in U =;fz :jzj > 1g which are of the form

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Journal of Mathematics and Applications

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