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On Grunsky norm of univalent functions
We establish an intrinsic lower bound for the Grunsky norm of univalent functions in the disk. This bound sheds light on the intrinsic geometric...
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Subclasses of bi-univalent functions subordinate to gegenbauer polynomials
In the present paper, we introduce three new classes of bi-univalent functions defined by means of Gegenbauer polynomials. For functions in each of...
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On the Second Hankel Determinant of Logarithmic Coefficients for Certain Univalent Functions
In this paper, we investigate the sharp bounds of the second Hankel determinant of Logarithmic coefficients for the starlike and convex functions...
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The second Hankel determinant problem for a certain subclass of bi-univalent functions
In this paper, we give upper bound for the second Hankel determinant for a certain subclass of bi-univalent functions, which are defined in the open...
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The Sharp Bound of Certain Second Hankel Determinants for the Class of Inverse of Starlike Functions with Respect to Symmetric Points
We investigate the sharp bound of certain coefficient functionals associated with a Hankel determinant of the second kind for the inverse function...
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Hermitian–Toeplitz determinants for certain univalent functions
Sharp upper and lower bounds for the second and third order Hermitian–Toeplitz determinants are obtained for some general subclasses of starlike and...
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The second Hankel determinant for subclasses of Bi-univalent functions associated with a nephroid domain
In the present paper, we obtain the estimates for the first two initial Taylor-Maclaurin coefficients and for the upper bounds of the Fekete-Szegö...
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Maximal coefficient functionals on univalent functions
Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the features of Bers’ fiber...
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On coefficient problems for functions starlike with respect to symmetric points
The main idea of the study on coefficient problems in various classes of analytic functions (univalent or nonunivalent) is to express the...
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Normalized Symmetric Differential Operators in the Open Unit Disk
The symmetric differential operator SDO is a simplification functioning of the recognized ordinary derivative. The purpose of this effort is to...
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A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions of Complex Order Associated with Linear Operator
In this article, we construct a new subclass of pseudo-type meromorphic bi-univalent function class of complex order, associated with linear operator...
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Coefficient Estimates for Starlike and Convex Functions Related to Sigmoid Functions
We give sharp coefficient bounds for starlike and convex functions related to modified sigmoid functions. We also provide some sharp coefficient...
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Differential Sandwich-Type Results for Symmetric Functions Associated with Pascal Distribution Series
AbstractIn this paper we obtain some applications of the theory of differential subordination, differential superordination, and sandwich-type...