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arXiv · 2407.10514

A new differential subordination technique for a subclass of starlike functions

S. Sivaprasad Kumar·Pooja Yadav
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Abstract

In the present investigation, we employ a new technique to find several first and second order differential subordination implications involving the following starlike class associated with a bean shaped domain: \begin{equation*} \mathcal{S}^*_{\mathfrak{B}}:=\left\{f\in\mathcal{S}:\dfrac{zf'(z)}{f(z)}\prec\sqrt{1+\tanh{z}}=:\mathfrak{B}(z)\right\}. \end{equation*} Also, we give several applications stemming from our derived results.

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S. Sivaprasad Kumar, Pooja Yadav. 2024-07-15. A new differential subordination technique for a subclass of starlike functions. https://arxiv.org/abs/2407.10514

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