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Boundedness of L-Index for the Composition of Entire Functions of Several Variables
Ukrainian Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bandura, A. I., Skaskiv, O. B.
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ON SUFFICIENT SETS IN SPACES OF ENTIRE FUNCTIONS OF SEVERAL VARIABLES
Mathematics of the USSR-Sbornik, 1989Let D be a convex bounded domain in \({\mathbb{C}}^ n\), \(n\geq 2\), \(0\in D\), and let \(D_ m\), \(m=1,2,...\), be a sequence of convex bounded domains such that \(\bar D_ m\subset D_{m+1}\) and \(\cup^{\infty}_{m=1}D_ m=D\). Put \(H_ m(z)= \max (Re :\) \(\lambda \in \bar D_ m)\) where \(= \sum^{n}_{k=1} \lambda_ kz_ k\), and \(P_ D=\{f\)-entire ...
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Composition Operators on Hilbert Spaces of Entire Functions of Several Variables
Integral Equations and Operator Theory, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minh Luan Doan, Le Hai Khoi, Trieu Le
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ON THE ADDITION OF THE INDICATORS OF ENTIRE AND SUBHARMONIC FUNCTIONS OF SEVERAL VARIABLES
Mathematics of the USSR-Sbornik, 1978In this article a necessary and sufficient criterion is derived for a subharmonic function defined in and having proximate order to belong to the class of functions of completely regular growth. The criterion is that for any subharmonic function with the same proximate order the sum of the regularized indicators of and be equal to the regularized
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ON REPRESENTING ENTIRE FUNCTIONS OF SEVERAL VARIABLES BY DIRICHLET SERIES
Mathematics of the USSR-Sbornik, 1972Let be an entire function of two complex variables. Let us take the proximate order and then define positive numbers () so that , . Let us choose an integer 2$ SRC=http://ej.iop.org/images/0025-5734/18/4/A04/tex_sm_1862_img7.gif/> and form the numbers (; ). Let () be arranged these numbers in the order of decreasing modulus.
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A UNICITY THEOREM FOR ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES
Chinese Annals of Mathematics, 2004The author proves the following result: Let \(f\) and \(g\) be two nonconstant entire functions on \(\mathbb{C}^n\), and let \(k\) be a positive integer. If \(f\) and \(g\) share \(0\) CM, that is, \(f\) and \(g\) have the same zeros counting multiplicities, \(D^kf\) and \(D^kg\) share \(1\) CM, and if \(\delta(0,f)>1/2\), then \(f=g\).
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On periodic decomposition of entire functions of several variables
Aequationes mathematicae, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation and Interpolation by Entire Functions of Several Variables
Canadian Mathematical Bulletin, 2010AbstractLet f : ℝn → ℝ be C∞ and let h: ℝn → ℝ be positive and continuous. For any unbounded nondecreasing sequence ﹛ck﹜ of nonnegative real numbers and for any sequence without accumulation points ﹛xm﹜ in ℝn, there exists an entire function g : ℂn → ℂ taking real values on ℝn such thatThis is a version for functions of several variables of the case n =
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