Results 51 to 60 of about 801,465 (147)
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions. [PDF]
Escudero LA, Haimi A, Romero JL.
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On the Growth of Iterated Entire Functions
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
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Entire functions sharing small functions with their difference operators
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
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
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On the dual space of a Banach space of entire functions
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
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An Entire Holomorphic Function Associated to an Entire Harmonic Function
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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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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Hyper Relative Order (p, q) of Entire Functions
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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Uniqueness Theorems of Difference Operator on Entire Functions
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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