An Upper Bound for Third Hankel Determinant of Starlike Functions Related to Shell-like Curves Connected with Fibonacci Numbers
Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue
Abstract
We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shell-like curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions.
Authors and Affiliations
Janusz Sokół, Sedat İlhan, H. Özlem Güney
Keywords
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