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Entire functions sharing a small function with their two difference operators [PDF]
Advances in Difference Equations, 2017 In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper.
Feng Lü, Yanfeng Wang, Junfeng Xu
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Complex small entire functions
Mathematics OpenSmall functions were defined in complex analysis together with the notions of order of growth, lower order of growth, type of growth and lower type of growth. The set of small entire functions with respect to an entire function f is a [Formula: see text]-
Alain Escassut
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Asymptotic Functions of Entire Functions [PDF]
Computational Methods and Function Theory, 2021 If $f$ is an entire function and $a$ is a complex number, $a$ is said to be an asymptotic value of $f$ if there exists a path $ $ from $0$ to infinity such that $f(z) - a$ tends to $0$ as $z$ tends to infinity along $ $. The Denjoy--Carleman--Ahlfors Theorem asserts that if $f$ has $n$ distinct asymptotic values, then the rate of growth of $f$ is at ...
Hinkkanen, Aimo +2 more
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Entire Gaussian Functions: Probability of Zeros Absence
Axioms, 2023 In this paper, we consider a random entire function of the form f(z,ω)=∑n=0+∞εn(ω1)×ξn(ω2)fnzn, where (εn) is a sequence of independent Steinhaus random variables, (ξn) is the a sequence of independent standard complex Gaussian random variables, and a ...
Andriy Kuryliak, Oleh Skaskiv
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Entire Function Sharing Entire Function with its First Derivative
Kragujevac Journal of Mathematics, 2022 In this paper, we use the idea of normal family to investigate the problem of entire function that share entire function with its first derivative.
Majumder, Sujoy, Sarkar, Jeet
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A study on the growth of generalist iterated entire functions [PDF]
Journal of Hyperstructures, 2020 In this paper we study growth properties of generalist iterated entire functions.
Ratan Kumar Dutta
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Amplitude-like functions from entire functions
Journal of High Energy Physics, 2023 Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key
Claude Duhr, Chandrashekhar Kshirsagar
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Bernstein-type characterization of entire functions
Доповiдi Нацiональної академiї наук України, 2023 Let ε be the set of all entire functions on the complex plane C. Let us consider the class XE of all complex Banach spaces X such that X ⊇ ε . For (X, ⎥⎥ ⋅ ⎥⎥)∈XE and g ∈X we write En, X (g ) = inf {⎥⎥ g − p⎥⎥: p∈Πn }, where Πn is the set of all ...
O.A. Dovgoshey +2 more
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No Entire Inner Functions [PDF]
Analysis Mathematica, 2020 6 pages, doubling condition ...
Cobos, A., Seco Forsnacke, Daniel
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Transactions of the American Mathematical Society, 1971 Factorizations of various functions are discussed. Complete factorizations of certain classes of functions are given. In particular it is shown that there exist primes of arbitrary growth.
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