论文标题
一类与正弦双曲功能相关的分析功能
A Class of Analytic Functions associated with Sine Hyperbolic Functions
论文作者
论文摘要
我们介绍了从属$ 1+\ sinh \ left（z \ firt）$的一类分析功能，并获得各种必要和充分的条件，使其可以参加课程。这些条件主要包括涉及卷积的系数不平等。此外，我们已经获得了尖锐的五个初始系数，这是该类别功能的一般n系数的猜想和第三个汉克尔决定因素界限。还得出了某些差异从属含义结果，涉及$ 1+\ sinh \ left（z \ firt）$。
We introduce a class of analytic functions subordinate to the function $1+\sinh \left( z\right) $ and obtain various necessary and sufficient conditions for functions to be in the class. These conditions mainly comprise of the coefficient inequalities involving convolution. Further, we have obtained sharp five initial coefficients, a conjecture for the general nth coefficient and the third Hankel determinant bounds for the functions in this class. Also derived certain differential subordination implication results involving $1+\sinh \left( z\right)$.
