Results 11 to 20 of about 2,418,931 (242)
THE TUMURA–CLUNIE THEOREM IN SEVERAL COMPLEX VARIABLES [PDF]
, 2014 It is a well-known result that if a nonconstant meromorphic function \(f\) on \({\bf C}\) and its \(l\)-th derivative \(f^{(l)}\) have no zeros for some \(l\geq 2\), then \(f\) is of the form \(f(z)=\exp(Az+B)\) or \(f(z)=(Az+B)^{-n}\) for some ...
P. Hu, Ajweezi. aljali
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Analyticity in Several Complex Variables [PDF]
, 2020 there are many similarities between complex analysis in several variables and one variable but there are also some important differences between holomorphic functions of a single variable and holomorphic functions of $n$ variables, for $n\geq 2$.
Zahid, Sadaf
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Fractal and Fractional, 2023 The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura +2 more
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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
Journal of Inequalities and Applications, 2008 Let be the unit ball in with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself. In the last section we consider the
Kohr Gabriela, Curt Paula
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Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames [PDF]
Complex Variables and Elliptic Equations, 2019 We give a general construction of entire functions in d complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an application, we exhibit a class of lattices of density >1 that fail to be a sampling set for the
K. Gröchenig, Yurii Lyubarskii
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Математичні Студії, 2020 For analytic functions $$f(z)=z+\sum\limits_{k=2}^{\infty}f_kz^k \mbox{ and } g(z)=z+\sum\limits_{k=2}^{\infty}g_kz^k$$ in the unit disk properties of the Hadamard compositions $D^n_{l,[S]}f*D^n_{l,[S]}g$ and $D^n_{l,[R]}f*D^n_{l,[R]}g$ of their Gelfond ...
M.M. Sheremeta
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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On normal functions in several complex variables
Journal of Classical Analysis, 2020 . In this paper, we generalize the conception of ϕ -normal to holomorphic functions of several complex variables. Extensions of some classical criteria for normality of holomorphic functions of several complex variables are also given.
Ting Zhu, Shengxuan Zhou, Liu Yang
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An independence result in several complex variables [PDF]
Proceedings of the American Mathematical Society, 1991 The assertion that there exists a complete set of biholomorphic invariants for simply connected domains in C
Lempert, László, Rubel, Lee A.
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Properties of composite positive continuous functions in $\mathbb{C}^n$
Karpatsʹkì Matematičnì Publìkacìï, 2015 The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
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