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Article 2023 · 10 citations

Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

Orhan, Halit, Caglar, Murat, Cotirla, Luminita-Ioana

Abstract

The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szego functional and the third Hankel determinant for a certain subclass SL*(u, v, alpha) of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.

Keywords
Hankel determinant Carlson-Shaffer operator Lemniscate of Bernoulli holomorphic function univalent function Fekete-Szego problem starlike function Zalcman functional EARLY COEFFICIENTS UNIVALENT STARLIKE SUBCLASS INVERSE
WoS Categories
Mathematics
Citation
Journal
MATHEMATICS
Year
2023
Volume
11
Issue
5
eISSN
2227-7390
DOI
10.3390/math11051147
WoS UID
WOS:000948061900001
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