Results 61 to 70 of about 801,465 (147)

The Sylvester problem and uniqueness sets in classes of entire functions

open access: yesСовременная математика: Фундаментальные направления
In this paper, we study the problem of finding, by a chosen sequence of complex numbers tending to infinity, the widest possible class of entire functions in a given scale for which this sequence is a uniqueness set.
G. G. Braichev
doaj   +1 more source

Orders of solutions of an n-th order linear differential equation with entire coefficients

open access: yesElectronic Journal of Differential Equations, 2001
We study the solutions of the differential equation $$ f^{(n)}+A_{n-1}(z) f^{(n-1) }+dots+A_{1}(z)f'+A_{0}(z) f=0, $$ where the coefficients are entire functions.
Benharrat Belaidi, Saada Hamouda
doaj  

Borel type asymptotic relation for entire Dirichlet series and $h$-measure of an exceptional sets

open access: yesМатематичні Студії
There are presented sufficient conditions for the entire Dirichlet series with monotonically increasing  sequence of exponents providing validity of Borel-type relation outside some set $E$ of finite $h$-measure, i.e. $m_h E=\int_E dh(x)
A. O. Kuryliak, T. M. Salo
doaj   +1 more source

The Geometric Characterizations of the Ramanujan-Type Entire Function

open access: yesMathematics
In the present paper, we present certain geometric properties, such as starlikeness, convexity of order η(0 ...
Khaled Mehrez, Abdulaziz Alenazi
doaj   +1 more source

Zeros of entire functions of finite order

open access: yesJournal of Inequalities and Applications, 2002
Given , , let be the set of all entire functions , with , for which there exists some constant such that . It is shown that the zero set of a function of satisfies and that the union of the zero sets of two functions of is not necessarily the zero
Supper Raphaële
doaj  

Entire Functions in Weighted L2 and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field

open access: yesCubo, 2010
For a real non-signdefinite function B(z), z ∈C, we investigate the dimension of the space of entire analytical functions square integrable with weight e ±2F , where the function F(z) = F(x1, x2) satisfies the Poisson equation ΔF = B.
Grigori Rozenblum, Nikolay Shirokov
doaj  

Approximations of Entire Functions in Locally Global Norms

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
        The purpose of this paper is to evaluate the error of the approximation of an entire function by some discrete operators in locally global quasi-norms (Ld,p-space), we intend to establish new theorems concerning that Jackson polynomial and Valee-
S.K. Jassim, N.J. Mohamed
doaj  

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