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Coefficient Estimates for Two Subclasses of Analytic and Bi-Univalent Functions
We introduce two new subclasses of the class 𝜎 of analytic and bi-univalent functions in the open unit disk U. Furthermore, we establish estimates...
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Second order linear differential equations with a basis of solutions having only real zeros
Let A be a transcendental entire function of finite order. We show that, if the differential equation w ″ + Aw = 0 has two linearly independent...
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Radius of starlikeness of certain analytic functions
We investigate radius problems for three classes of normalized analytic functions f characterized by its ratio with certain normalized analytic...
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Complex Symmetry of Toeplitz Operators over the Bidisk
In this paper, we investigate the complex symmetric structure of Toeplitz operators T ϕ on the Hardy space over the bidisk. We first characterize the...
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Univalent Harmonic Map**s and Lift to the Minimal Surfaces
We construct sense-preserving univalent harmonic map**s which map the unit disk onto a domain which is convex in the horizontal direction, but with...
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Convergent Sequences of Holomorphic Functions
We have already seen four amazing results on the convergence of sequences of holomorphic functions [5.38(iv), 5.44(ii), 5.45(iii) and 5.74] which...
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On a General Approach to Construction of a Self-Adjoint Dilation for a Dissipative Operator
We propose a general approach to the construction of a self-adjoint dilation for a densely defined dissipative operator with a non-empty set of...
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Complex Symmetric C0-semigroups on A2(ℂ+)
In this paper, we study complex symmetric C 0 -semigroups on the Bergman space A 2 (ℂ + ) of the right half-plane ℂ + . In contrast to the classical case, we...
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Subclass of k-Uniformly Starlike Functions Defined by the Symmetric q-Derivative Operator
The theory of q -analogs is frequently encountered in numerous areas, including fractals and dynamical systems. The q -derivatives and q -integrals...
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Sharp Bounds of the Hermitian Toeplitz Determinants for Certain Close-to-Star Functions
The sharp lower and upper bounds of the Hermitian Toeplitz determinants of the second and third order for certain close-to-star functions are...
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On a class of analytic functions related to Robertson’s formula and subordination
In this paper, we define and study a class of analytic functions in the unit disc by modification of the well-known Robertson’s analytic formula for...
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Three-Dimensional Quasiconformal Map**s and Axisymmetric Problems
AbstractQuasiconformal map**s of axisymmetric domains are considered as a special case of three-dimensional transformations. For a...
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Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in \({\mathbb {C}}^{n}\)
In the paper there is considered a generalization of the well-known Fekete–Szegö type problem onto some Bavrin’s families of complex valued...
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Toeplitz Determinants for a Class of Holomorphic Map**s in Higher Dimensions
In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of holomorphic map**s from a class...
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Bohr Inequalities in Some Classes of Analytic Functions
The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality. An exact estimate in the strong Bohr inequality...