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

被引：4
|
作者：
Orhan, Halit [1 ]
Caglar, Murat [2 ]
Cotirla, Luminita-Ioana [3 ]
机构：
[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkiye
[2] Erzurum Tech Univ, Fac Sci, Dept Math, TR-25100 Erzurum, Turkiye
[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania
来源：
MATHEMATICS | 2023年 / 11卷 / 05期
关键词：
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;
D O I：
10.3390/math11051147
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：12
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