Results 71 to 80 of about 3,355,363 (183)

Hyper Relative Order (p, q) of Entire Functions

Annals 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
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On the growth of a composition of entire functions

Karpatsʹkì Matematičnì Publìkacìï, 2018
Let $\gamma$ be a positive continuous on $[0,\,+\infty)$ function increasing to $+\infty$ and $f$ and $g$ be arbitrary entire functions of positive lower order and finite order.
M.M. Sheremeta
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Uniqueness Theorems of Difference Operator on Entire Functions

Discrete 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
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Uniqueness Theorems on Difference Monomials of Entire Functions

Abstract and Applied Analysis, 2012
The aim of this paper is to discuss the uniqueness of the difference monomials fnf(z+c). It assumed that f and g are transcendental entire functions with finite order and Ek)(1,fnf(z+c))=Ek)(1,gng(z+c)), where c is a nonzero complex constant and n, k are
Gang Wang, Deng-li Han, Zhi-Tao Wen
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An Entire Holomorphic Function Associated to an Entire Harmonic Function

Journal 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 \(f\)
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The Geometric Characterizations of the Ramanujan-Type Entire Function

Mathematics
In the present paper, we present certain geometric properties, such as starlikeness, convexity of order η(0 ...
Khaled Mehrez, Abdulaziz Alenazi
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Entire functions on c0

Journal 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
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Entire functions [PDF]

Pacific Journal of Mathematics, 1956
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Zeros of entire functions of finite order

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

Cubo, 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
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