论文标题

Nehari的单价标准,Schwarzian衍生品和应用

Nehari's univalence criteria, pre-Schwarzian derivative and applications

论文作者

Agrawal, Sarita, Sahoo, Swadesh Kumar

论文摘要

在本文中,我们使用来自微分方程的技术研究了属于NEHARI-TYPE类的功能的Schwarzian衍生物的尖锐估计。在续集中,我们还看到,复杂微分方程的解决方案在导致积分表示的超几何函数之比方面具有特殊形式。最后,我们尝试研究图像域是无限的约翰域的单元磁盘中的那些单价功能。

In this paper we study sharp estimates of pre-Schwarzian derivatives of functions belonging to the Nehari-type classes by using techniques from differential equations. In the sequel, we also see that a solution of a complex differential equation has a special form in terms of ratio of hypergeometric functions resulting to an integral representation. Finally, we attempt to study those univalent functions in the unit disk for which the image domain is an unbounded John domain.

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