On a generalization of starlike functions

Sarita Agrawal

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arXiv · 1809.03339

On a generalization of starlike functions

Sarita Agrawal

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Abstract

In this paper, we mainly study the order of $q$-starlikeness of the well-known basic hypergeometric function. In addition, we obtain the Bieberbach-type problem for a generalized class of starlike functions. We also discuss the Fekete-szeg\"o and the Hankel determinant problems for the same class of functions.

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Sarita Agrawal. 2018-09-07. On a generalization of starlike functions. https://arxiv.org/abs/1809.03339

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