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Proximate order and type of entire functions of several complex variables

Israel Journal of Mathematics, 1995
The \((p,q)\)-order, \((p,q)\)-type, and index-pair for entire functions of several complex variables are defined in this paper. Using these definitions, the authors generalize two growth theorems given by \textit{P. Lelong} and \textit{L. Gruman} in their book `Entire functions of several complex variables' (Chapter one), Springer-Verlag, Berlin (1986;
Einstein-Matthews, S. M., Kasana, H. S.
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Polynomiality criterion for entire functions of several complex variables

Mathematical Notes, 1999
The “radial” polynomiality criterion for entire functions of several complex variables is proved.
P V Dovbush
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A UNICITY THEOREM FOR ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES

Chinese Annals of Mathematics Series B, 2004
The 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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Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth

Journal of Applied Analysis, 2017
AbstractIn the present paper, the coefficients characterizations of generalized ...
Devendra Kumar
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A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables

Mathematical Notes, 1997
The author considers the scale of growth of entire functions of several complex variables which was introcuded by Oskolkov for the case of the space \(\mathbb{C}^1\) and obtains the series results of the connection between the maximum modulus of an entire function and the behavior of its Taylor coefficients.
Yu F Korobeinik, Korobeinik Yu F
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Entire Functions of Several Complex Variables

, 1986
Pierre Lelong, Lawrence Gruman
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Generalized growth and Faber polynomial approximation of entire functions of several complex variables in some Banach spaces

, 2019
Summary: In this paper the relationship between the generalized order of growth of entire functions of many complex variables \(m\) (\(m\geq 2\)) over Jordan domains and the sequence of Faber polynomial approximations in some Banach spaces has been investigated. Our results improve the various results shown in the literature.
Kumar, Devendra, Vijayran, Manisha
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Proximate order and approximation of entire functions in several complex variables

Journal of Analysis
Devendra Kumar
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Problem of Generators in a Single Ring of Entire Functions of Several Complex Variables

Russian Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GROWTH PROPERTIES OF AN ENTIRE FUNCTION OF SEVERAL COMPLEX VARIABLES ON THE BASIS OF RELATIVE ORDER

jnanabha, 2023
In this paper, we study some comparative growth properties of composite entire function of several complex variables, on the basis of relative order and relative lower order of an entire function with respect to an entire function. Here we are defining some definitions related to relative order and relative lower order in terms of central index.
Suraj Bhan, Anupma Rastogi
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