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Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834,
2023 ) used the error function together with a q -convolution to introduce a new operator. By... -
Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable...
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On fractional calculus with analytic kernels with respect to functions
Many different types of fractional calculus have been proposed, which can be organised into some general classes of operators. For a unified...
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Homomorphisms on algebras of analytic functions on non-symmetrically regular spaces
We study homomorphisms on the algebra of analytic functions of bounded type on a Banach space. When the domain space lacks symmetric regularity, we...
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Integration of Analytic Functions
In Chapter 2 we introduced the Korobov spaces...
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Lelong Number and the Log Canonical Thresholds of Plurisubharmonic Functions on Analytic Subsets
The aim of this paper is to introduce the notion of Lelong number and the log canonical thresholds of plurisubharmonic functions on analytic subsets A ...
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Analytic Functions in Local Shift-Invariant Spaces and Analytic Limits of Level Dependent Subdivision
In this paper we characterize all subspaces of analytic functions in finitely generated shift-invariant spaces with compactly supported generators...
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Representing Exponential Systems in Spaces of Analytic Functions
This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex...
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Pseudocomplete Riemannian Analytic Manifolds
AbstractWe study the analytic extension of a locally given Riemannian analytic metric to a metric of a nonextendable manifold. Various classes of...
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Two-Point and nth Derivative Norm Inequalities for Analytic Functions in Banach Algebras
Let Ɓ be a unital Banach algebra, let a ∈ Ɓ, G be a convex domain of ℂ with σ ( a ) ⊂ G, let α , β ∈ G, and let f : G → ℂ be analytic on G. By using the...
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Generalizations and Improvements of Approximations of Some Analytic Functions: A Survey
In this paper, we present a survey of some recent results concerning generalizations and improvements of approximations of some analytic functions...
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Complex Symmetric Toeplitz Operators on Hilbert Spaces of Analytic Functions
We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect...
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Coefficients of Exponential Series for Analytic Functions and the Pommiez Operator
In this paper, we present results of the existence of a linear continuous right inverse operator for the operator of the representation of analytic...
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Convolution conditions for two subclasses of analytic functions defined by Jackson q-difference operator
By using Jackson q -derivative, some characterizations in terms of convolutions for two classes of analytic functions in the open unit disc are given....
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Characterization of Weighted Mixed Norm Spaces of Analytic Functions Defined in Terms of Conditions on Fourier Coefficients
AbstractThis paper analyzes a certain class of functional sequences and applies the results to a description of functional spaces of analytic...
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