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On the Asymptotics of Wright Functions of the Second Kind
The asymptotic expansions of the Wright functions of the second kind, introduced by Mainardi [see Appendix F of his book Fractional Calculus and Waves...
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Overconvergence of Series in Generalized Mittag-Leffler Functions
Series defined by means of the three-parametric Mittag-Leffler functions, called also the Prabhakar functions, are considered in this paper. Their...
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On the Growth Order of Solutions of Linear Differential Equations in a Sector of the Unit Disk
In this paper, we consider the growth order of solutions of higher order linear differential equations in a sector of the unit disk instead of the...
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Universality and Cesàro Summability Emmanouil Katsoprinakis, Vasilis Nestoridis and Christos Papachristo doulos
Let Ω be an arbitrary domain in the complex plane, Ω ≠ ℂ, and ζ ∈ Ω. Let R = dist(ζ, ∂Ω) Ω (0, +∞), C ( ζ , R ) = { z ∈ ℂ: | z − ζ | = R } and J (Ω, ζ ) = ∂Ω ∩ C (...
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Evolution of a current in a resistor
The current in a simple electric circuit consisting of a resistor and a power supply is studied under the assumption that the current starts from...
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Universal distribution of limit points
We consider sequences of functions that have in some sense a universal distribution of limit points of zeros in the complex plane. In particular, we...
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Fourier coefficients of Zygmund functions and analytic functions with quasiconformal deformation extensions
An open problem is to characterize the Fourier coefficients of Zygmund functions. This problem was also explicitly suggested by Nag and later by Teo...
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Applications of the Cosecant and Related Numbers
Power series expansions for cosecant and related functions together with a vast number of applications stemming from their coefficients are derived...
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The Bohr Radius of a Banach Space
Let 1≤p, q<∞ and let X be a complex Banach space. For each $$ f(z) =...
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Approximation by Translates of Taylor Polynomials of the Riemann Zeta Function
Every function holomorphic on a compact subset of the complex plane having connected complement can be approximated by translates of Taylor...
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Cyclicity of coefficient multipliers: Linear structure
We characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions....
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On Location and Approximation of Clusters of Zeros of Analytic Functions
At the beginning of the 1980s, M. Shub and S. Smale developed a quantitative analysis of Newton's method for multivariate analytic maps. In...
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Bounded and compact multipliers between Bergman and Hardy spaces
This paper studies the boundedness and compactness of the coefficient multiplier operators between various Bergman spaces A p and Hardy spaces H ...
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