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arXiv 1902.06259math.CV
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垂直带状区域上近于凸函数的系数界

Coefficient bounds for close-to-convex functions associated with vertical strip domain

Serap Bulut

摘要:

通过考虑单位圆盘U上的单叶函数,将U映射到带状区域上,利用非齐次Cauchy-Euler型微分方程,引入了一类新的解析逼近凸函数.我们确定在这个新的类的函数的系数界。文中还给出了某些结果与前人工作的有关联系。

英文摘要:

By considering a certain univalent function in the open unit disk U, that maps U onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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