Geodesic
Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 605

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Using the operator $L(a,c)$ defined by Carlson and Shaffer, we defined a new subclass of analytic functions $ML(\lambda,a,c)$. The well known Fekete-Szegö problem, upper bound of Hankel determinant of order two, and coefficient bound of the fourth coefficient is determined. Our investigation generalises some previous results obtained in different articles.
Classification : 30C45 30C80
Keywords: Analytic functions, differential subordination, Hankel determinant, Fekete-Szegö problem, Carlson-Shaffer operator, Bernoulli's lemniscate 
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Laxmipriya Parida; Teodor Bulboaca; Ashok Kumar Sahoo. Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 605 . http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a6/