论文标题
使用可采性条件的具有积极实际部分的功能的差异从属
Differential Subordinations For Functions With Positive Real Part Using Admissibility Conditions
论文作者
论文摘要
某些常数的一些足够条件,这些条件与某些函数相关的某些第一,二阶和三阶差异从属涉及具有正实际部分的某些功能,例如修改的Sigmoid函数,指数函数和Janowski函数,从而使条件p(0)= 1归一化的分析函数p(从下属p(0)= 1)属于Janowski函数。 Janowski功能的可接受性条件被用作结果证明的工具。作为应用程序,还为Janowski Starlikeness计算了几个足够的条件。
Some sufficient conditions on certain constants which are involved in some first, second and third order differential subordinations associated with certain functions with positive real part like modified Sigmoid function, exponential function and Janowski function are obtained so that the analytic function p normalized by the condition p(0) = 1, is subordinate to Janowski function. The admissibility conditions for Janowski function are used as a tool in the proof of the results. As application, several sufficient conditions are also computed for Janowski starlikeness.