Abstract

In this article, we study some first-order differential subordinations. We determine the conditions on β such that and implies . Similarly, some results are also obtained for the expressions and . We also give applications of these results to obtain some sufficient conditions for a function to be starlike related to exponential functions.

中文翻译：

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与指数函数相关的微分从属关系

摘要

在本文中，我们研究了一些一阶微分从属关系。我们确定β的条件，使得和暗示。类似地，对于表达式和也得到了一些结果。我们还给出了这些结果的应用，以获得与指数函数相关的函数与星形相关的一些充分条件。