Results 31 to 40 of about 5,061,991 (285)

Singular values of two-parameter families λ((bz − 1)/z)μ and λ(z/(bz − 1))η

open access: yesJournal of Taibah University for Science, 2017
The singular values of two kinds of two-parameter families of functions (i) fλ,μ(z)=λ((bz−1)/z)μ and fλ,μ(0) = λ(ln b)μ, μ > 0, (ii) gλ,η(z)=λ(z/(bz−1))η and gλ,η(0) = λ/(ln b)η, η > 0; λ∈ℝ∖{0}, z∈ℂ, b > 0, b ≠ 1 are described.
Mohammad Sajid
doaj   +1 more source

Closure theorems with applications to entire functions with gaps [PDF]

open access: yes, 1971
In this paper we consider questions of completeness for spaces of continuous functions on a half line which satisfy appropriate growth conditions. The results obtained have consequences in the theory of entire functions with gap power series.
Anderson, J.M., Binmore, K.G.
core   +1 more source

On generalized characteristics of smoothness of functions and on average $\nu$-widths in the space $L_2(\mathbb{R})$

open access: yesResearches in Mathematics, 2019
Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness ...
S.B. Vakarchuk, M.B. Vakarchuk
doaj   +1 more source

On properties of the solutions of the Weber equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2015
Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are ...
Yu.S. Trukhan
doaj   +1 more source

The electron thermal propagator at p>>T: An entire function of p_{0}

open access: yes, 2003
The retarded electron propagator S_{R}(p_{0},p) at high momentum p>>T was shown by Blaizot and Iancu to be an entire function of complex p_{0}. In this paper a specific form for S_{R}(p_{0},p) is obtained and checked by showing that its temporal Fourier ...
A. Kernemann   +32 more
core   +1 more source

Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian) [PDF]

open access: yesМатематичні Студії, 2013
Exact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are ...
V. V. Myroniuk, S. Ya. Yanchenko
doaj  

Random Zeros Entire Functions

open access: yesComplex Analysis and Operator Theory, 2023
5 ...
openaire   +2 more sources

Multiplicative structures of hypercyclic functions for convolution operators

open access: yes, 2017
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis   +3 more
core   +1 more source

On Asymmetric Entire Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
We shall obtain a result for entire functions which generalizes (1). To see what to expect, note that p(eiz) is an entire function f(z) of exponential type of a special kind: if h(Q) is its indicator, we have h(-7r/2) =n, but h(7r/2) 1,f(z) has no zeros in ...
openaire   +1 more source

Newton's method and Baker domains

open access: yes, 2007
We show that there exists an entire function f without zeros for which the associated Newton function N(z)=z-f(z)/f'(z) is a transcendental meromorphic functions without Baker domains.
Bergweiler W.   +6 more
core   +1 more source

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