Results 51 to 60 of about 801,465 (147)

Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions. [PDF]

open access: yesComplex Anal Oper Theory, 2021
Escudero LA, Haimi A, Romero JL.
europepmc   +1 more source

On the Growth of Iterated Entire Functions

open access: yesInternational Journal of Analysis and Applications, 2013
We consider iteration of two entire functions of (p , q)-order and study some growth properties of iterated entire functions to generalise some earlier results.
Dibyendu Banerjee, Nilkanta Mondal
doaj   +2 more sources

Entire functions sharing small functions with their difference operators

open access: yesElectronic Journal of Differential Equations, 2015
We study the uniqueness for entire functions that share small functions of finite order with difference operators applied to the entire functions. In particular, we generalize of a result in [2].
Zinelaabidine Latreuch   +2 more
doaj  

On Iterated Entire Functions with (p,q)th Order

open access: yesJournal of Mathematics, 2014
We prove some results relating to the comparative growth properties of iterated entire functions using (p, q)th order ((p, q)th lower order).
Sanjib Kumar Datta   +2 more
doaj   +1 more source

On the dual space of a Banach space of entire functions

open access: yesМатематичні Студії
Let \( \mathcal{L}_1 \) denote the subspace of \( L_1(\mathbb{R}) \) consisting of the restrictions to \( \mathbb{R} \) of entire functions of exponential type at most \( \pi \), equipped with the \( L_1(\mathbb{R}) \)-norm.
Ya. Mykytyuk, N. Sushchyk, D. Lukivska
doaj   +1 more source

An Entire Holomorphic Function Associated to an Entire Harmonic Function

open access: yesJournal of Approximation Theory, 1999
Given a harmonic function \(h\) on \(\mathbb{R}^N\), \(N\geq 2\), \((h\in {\mathcal H}_N)\) there is a unique holomorphic function \(f\) on \(\mathbb{C}\), \((f\in{\mathcal E})\) such that \(f(t)=h(t,0,\dots,0)\) for \(t\in\mathbb{R}\). This paper has two purposes. Firstly to obtain theorems on the connection between the growth rates of \(h\) and \(f\)
openaire   +2 more sources

Entire functions on c0

open access: yesJournal of Functional Analysis, 1983
It is shown that every holomorphic function on the Banach space \(c_ 0\) of complex null sequences which is bounded on weakly compact subsets is bounded on bounded subsets of \(c_ 0\). This result answers a question of \textit{R. M. Aron, C. Hérves, M. Valdivia} [J. Funct. Anal. 52, 189-204 (1983; Zbl 0517.46019)] in the negative. The result also shows
openaire   +2 more sources

Hyper Relative Order (p, q) of Entire Functions

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
doaj   +1 more source

Uniqueness Theorems of Difference Operator on Entire Functions

open access: yesDiscrete Dynamics in Nature and Society, 2013
We investigate the uniqueness questions of the difference operator on entire functions and obtain three uniqueness theorems using the idea of weight sharing.
Jie Ding
doaj   +1 more source

Entire functions [PDF]

open access: yesPacific Journal of Mathematics, 1956
openaire   +2 more sources

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