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On certain subclasses of analytic functions associated with Pascal operator
In this paper, we introduce several new subclasses of the analytic functions defined in the open unit disc U that are associated with the Pascal...
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Estimates for Analytic Functions Connected with Hankel Determinant
We give an upper bound of the first-order Hankel determinant ( H 2 (1)) for the classes of analytic functions. In addition, an estimate with Hankel...
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Determination of Some Properties of Starlike and Close-to-Convex Functions According to Subordinate Conditions with Convexity of a Certain Analytic Function
Investigation of the theory of complex functions is one of the most fascinating aspects of the theory of complex analytic functions of one variable....
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Sharp Initial Coefficient Bounds and the Fekete–Szegő Problem for Some Subclasses of Analytic and Bi-Univalent Functions
We introduce two new subclasses U Σ ( α , λ ) and ℬ 1Σ (α) of analytic bi-univalent functions defined in an open unit disk 𝕌, which are associated with the...
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Weighted Composition Operators on Weighted Spaces of Banach Valued Analytic Functions
Several properties of weighted composition operators acting between weighted spaces of analytic functions with values on a Banach space are...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a...
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Division of Distributions by Analytic Functions
From the viewpoint of this book, one could say that the divisibility of distributions by analytic functions (part of the ensemble of results due to...
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Essential norm of intrinsic operators from Banach spaces of analytic functions into weighted-type spaces
In this work, we characterize the boundedness of a large class of operators, map** a general Banach space of analytic functions defined on the open...
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The Hilbert Problem in a Half-plane for Generalized Analytic Functions with a Super-singular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index for one generalized Cauchy–Riemann equation with...
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Extensions of Analytic and Pluriharmonic Functions in Given Directions by the Chirka Method: a Survey
In this paper, we provide a survey of results on analytic and plurisubharmonic extensions of functions that have a thin set of singularities along a...
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Polar-Analytic Functions: Old and New Results, Applications
Here we review the notion of polar analyticity introduced in a previous paper and successfully applied in Mellin analysis and for quadrature formulae...