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The Fekete–Szegö functional and filtration of generators
In this paper we introduce and study a question that can be interpreted as ‘an inverse Fekete–Szegö problem’. This problem links to the so-called...
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Families of Inverse Functions: Coefficient Bodies and the Fekete–Szegö Problem
In this paper, we establish the coefficient bodies for a wide class of families of inverse functions. We also completely describe functions that are...
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Fekete–Szegö inequality for bi-univalent functions by means of Horadam polynomials
In this paper, make use of the Horadam polynomials, we introduce a comprehensive subclass of analytic and bi-univalent functions. For functions...
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Note on the Fekete–Szegö Problem for Spirallike Map**s in Banach Spaces
In this note we present a remark on the paper “On the coefficient inequalities for a class of holomorphic map**s associated with spirallike...
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The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin...
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The Fekete-Szegö Problem for Bazilevič Function
In this paper, a new subclass of bi-univalent functions is introduced using subordination and also the bounds for the Fekete-Szegö problem are...
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Fekete–Szegö problem for certain subclasses of analytic functions defined by the combination of differential operators
In this paper, we introduce and study some new subclasses of analytic functions defined by the combination of Al-Oboudi and Ruscheweyh differential...
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Fekete–Szegö inequalities on certain subclasses of analytic functions defined by \(\lambda\)-pseudo-q-difference operator associated with s-sigmoid function
This investigation is carried out because of the concept made by Ezeafulukwe et al. (Int. J. Math. Comput. Sci. 15(2), 621–626, 2020) on s -sigmoid...
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Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions
In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szegö inequalities for a new subclass of analytic...
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On the Coefficient Inequalities for a Class of Holomorphic Map**s Associated with Spirallike Map**s in Several Complex Variables
In this paper, we establish the Fekete and Szegö inequality for a class of holomorphic functions related to the class of normalized spirallike...
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Survey on filtrations (parametric embeddings) of infinitesimal generators
This work is devoted to the so-called filtration theory of semigroup generators in the unit disk. It should be noted that numerous filtrations...
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A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator
In this study, by using Lucas polynomials, subordination and q -analogue of Noor integral operator, we will introduce an interesting new class
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