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The sharp bounds of the second and third Hankel determinants for the class SL^\*^ by Shagun Banga; S. Sivaprasad Kumar is a Mathematics article available to read on EtoBox.
What is The sharp bounds of the second and third Hankel determinants for the class SL^\*^ about?
In this paper, we use the novel idea of incorporating the recently derived formula for the fourth coefficient of Carathéodory functions, in place of the routine triangle inequality to achieve the sharp bounds of the Hankel determinants H 3 (1) and H 2 (3) for the well known class SL \* of starlike functions associated with the right lemniscate of Bernoulli. Apart from that the sharp bound of the Zalcman functional: |a 2 3 -a 5 | for the class SL \* is also estimated. Further, a couple of interesting results of SL \* are also discussed.
Who reads The sharp bounds of the second and third Hankel determinants for the class SL^\*^?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Shagun Banga; S. Sivaprasad Kumar
- Publisher
- Walter de Gruyter GmbH
- Published
- 2020
- Language
- EN
- Field
- Mathematics (Physical Sciences)