Results 11 to 20 of about 181,249 (295)
On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices
Journal of Function Spaces, 2020 In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions.
M. Abul-Ez +3 more
doaj +2 more sources
Wiman’s type inequalities without exceptional sets for random entire functions of several variables [PDF]
Математичні Студії, 2012 In the paper we {consider entire} functions $ fcolonmathbb{C}^pomathbb{C}, pgeq 2, $ defined by power series$ f(z)=f(z_1,ldots,z_p)=sum_{|n|=0}^{+infty}a_n z^n, %pgeq2, $ $z^n=z_1^{n_1}cdotldotscdot z_p^{n_p},$$n=(n_1,ldots,n_p).$ For $r=(r_1,ldots,r_p ...
A. O. Kuryliak, O. B. Skaskiv
doaj +1 more source
On a space of entire functions rapidly decreasing on Rn and its Fourier transform
Concrete Operators, 2015 A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
Musin Il’dar Kh.
doaj +2 more sources
Expansion of Entire Functions of Several Complex Variables Having Finite Growth [PDF]
Transactions of the American Mathematical Society, 1974 We consider the space χ \chi of entire
Kamthan, P. K., Gupta, Manjul
openaire +2 more sources
Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
doaj +2 more sources
Le Matematiche, 1992 In this paper, we consider the space X of all Entire functions represented by Dirichlet series equipped with various topologies. The main result is concerned with finding certain continuous linear operators which are used to determine the proper bases in
Suzanne Daoud
doaj +1 more source
Fourier coefficients and growth of harmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
doaj +2 more sources
On the Cauchy problem in a class of entire functions in several variables [PDF]
Banach Center Publications, 1996 We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of Cn+1. The Borel transformation of power series and residue theory are used as the main methods of investigation.
Leinartas, Eugeni
openaire +2 more sources
Generalized Order and Best Approximation of Entire Function in 𝐿𝑝-Norm [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact 𝐾 with respect to the set Ω𝑟={𝑧∈𝐂𝑛;exp𝑉𝐾(𝑧)≤𝑟}, where 𝑉𝐾=
Mohammed Harfaoui
doaj +2 more sources
Approximation of entire functions of slow growth on compact sets [PDF]
, 1981 summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kapoor, G.P. +3 more
core +1 more source