Results 21 to 30 of about 998,953 (172)
Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic [PDF]
, 2008 We prove generalized ABC theorems for vanishing sums of non-Archimedean entire functions of several variables in arbitrary characteristic.Comment: 29 pages, references ...
Cherry, William, Toropu, Cristina
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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.
Dovbuş, P.V., Dovbush, P.V.
openaire +3 more sources
Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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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.
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Operators and Matrices, 2023 . The main aim of this paper is to introduce the de fi nitions of generalized order and generalized type of the entire function of several complex matrix variables in hyperspherical region and then study some of their properties.
T. Biswas, C. Biswas, B. Saha
semanticscholar +1 more source
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
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Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics [PDF]
, 1993 By resorting to the Fock--Bargmann representation, we incorporate the quantum Weyl--Heisenberg ($q$-WH) algebra into the theory of entire analytic functions. The main tool is the realization of the $q$--WH algebra in terms of finite difference operators.
Celeghini +4 more
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International Journal of Mathematics and Mathematical Sciences, 1980 We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn)). This extends to n-variables the work of L.
Carlos A. Berenstein, B. A. Taylor
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From Euclidean to Minkowski space with the Cauchy-Riemann equations [PDF]
, 2008 We present an elementary method to obtain Green's functions in non-perturbative quantum field theory in Minkowski space from calculated Green's functions in Euclidean space. Since in non-perturbative field theory the analytical structure of amplitudes is
A.L. Mackay +19 more
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Stochastic macromodeling of nonlinear systems via polynomial chaos expansion and transfer function trajectories [PDF]
, 2014 A novel approach is presented to perform stochastic variability analysis of nonlinear systems. The versatility of the method makes it suitable for the analysis of complex nonlinear electronic systems. The proposed technique is a variation-aware extension
De Jonghe, Dimitri +5 more
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