A class of strongly close-to-convex functions

In this paper, we study a class of strongly close-to-convex functions $f(z)$ analytic in the unit disk $\mathbb{U}$ with $f(0)=0,f^{\prime }(0)=1$ satisfying for some convex function $g(z)$ the condition that \begin{equation*} \frac{zf^{\prime }(z)}{g(z)}\prec \left( \frac{1+Az}{1+Bz}\right)...

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Bibliographic Details
Main Authors: R. K. Raina, Poonam Sharma, Janusz Sokol
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-05-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38464