Results 1 to 10 of about 11,083 (123)
On composition of meromorphic functions in several complex variables
Forum Mathematicum, 1995 Let \(F\) be a meromorphic function in several complex variables. The authors say that \(F\) has a factorization with left factor \(f\) and right factor \(g\) if \(F(z) = f(g(z))\), \(z \in \mathbb{C}^ n\), where \(f\) is a meromorphic function from \(\mathbb{C}\) to \(\mathbb{P}^ 1\) and \(g\) is an entire function of several complex variables.
Li, B.Q., Chang, Der-Chan, Yang, C.-C.
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Value distribution of q-differences of meromorphic functions in several complex variables [PDF]
Analysis Mathematica, 2020 In this paper, we study $q$-difference analogues of several central results in value distribution theory of several complex variables such as $q$-difference versions of the logarithmic derivative lemma, the second main theorem for hyperplanes and hypersurfaces, and a Picard type theorem.
Cao, T-B, Korhonen, R J
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Advances in Difference Equations, 2021 This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu +3 more
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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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The star function for meromorphic functions of several complex variables [PDF]
Complex Variables and Elliptic Equations, 2017 We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions admitting a harmonic star function.
Abi-Khuzam, Faruk +2 more
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The resultant on compact Riemann surfaces [PDF]
, 2008 We introduce a notion of resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several integral formulas for the resultant, relate it to potential theory and give ...
A. Lascoux +40 more
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On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds [PDF]
, 1999 We discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential.
Kaste, Peter
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Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]
, 2012 We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko +26 more
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Mathematical Problems in Engineering, 2019 The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n‐variable complex functions with n ≥ 2. Argument analytic relationships for n‐variable complex functions with significance similar to the argument principle for one‐variable ones are retrieved partially and ...
Jun Zhou, Zhaoxia Duan
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Bernstein-gamma functions and exponential functionals of Levy Processes [PDF]
, 2018 We study the equation $M_\Psi(z+1)=\frac{-z}{\Psi(-z)}M_\Psi(z), M_\Psi(1)=1$ defined on a subset of the imaginary line and where $\Psi$ is a negative definite functions.
Patie, Pierre, Savov, Mladen
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