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arXiv · 1906.02681

The sharp bounds of the second and third Hankel determinants for the class SL^*

Shagun Banga·S. Sivaprasad Kumar
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Abstract

The aim of the present paper is to obtain the sharp bounds of the Hankel determinants H_2(3) and H_3(1) for the well known class SL^* of starlike functions associated with the right lemniscate of Bernoulli. Further for n=3, we find the sharp bound of the Zalcman functional for the class SL^*. In addition, a couple of interesting results of SL^* is appended at the end.

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Shagun Banga, S. Sivaprasad Kumar. 2019-06-06. The sharp bounds of the second and third Hankel determinants for the class SL^*. https://doi.org/10.1515/ms-2017-0398.

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