Results 1 to 10 of about 288 (27)

On some geometric results for generalized k-Bessel functions

open access: yesDemonstratio Mathematica, 2023
The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj   +1 more source

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

open access: yesOpen Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj   +1 more source

Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type

open access: yesOpen Mathematics, 2020
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin   +3 more
doaj   +1 more source

Inequalities for the Polar Derivative of a Polynomial [PDF]

open access: yes, 2009
In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J.
Bidkham, M.   +2 more
core   +4 more sources

Reconstruction of Bandlimited Functions from Unsigned Samples [PDF]

open access: yes, 2010
We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that such a reconstruction is always possible if the function is sampled at more than twice its Nyquist rate ...
B.Ya. Levin   +15 more
core   +1 more source

On $L^2$ -functions with bounded spectrum

open access: yes, 2012
We consider the class $PW(\mathbb R^n)$ of functions in $L^2(\mathbb R^n)$, whose Fourier transform has bounded support. We obtain a description of continuous maps $\varphi : \mathbb R^m\rightarrow\mathbb R^n$ such that $f\circ\varphi\in PW(\mathbb R^m)$
A. I. Markushevich   +5 more
core   +1 more source

The Young type theorem in weighted Fock spaces

open access: yes, 2017
We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight.
Baranov, Anton   +2 more
core   +3 more sources

Small entire functions with extremely fast growth [PDF]

open access: yes, 1997
We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip for every f ∈ M and for every ...
Bernal González, Luis
core  

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