Results 31 to 40 of about 3,149,967 (325)
Representation of logarithm of entire function in several complex variables
Karpatsʹkì Matematičnì Publìkacìï, 2013 The integral representation of some branch of an entire on $\mathbb{C}^n$ function which generalized the Poisson-Jensen-Stoll Formula is obtained.
O. Ya. Brodyak, Ya. V. Vasyl'kiv
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On Quasi-Pseudoconformality in Several Complex Variables [PDF]
Transactions of the American Mathematical Society, 1967 K[Tp] can be equivalently defined in the usual way as the ratio of the axes of the "infinitesimal ellipse" into which an "infinitesimal circle" around p is mapped. That these two definitions coincide reflects the fact that in C1 analyticity and conformality are one and the same notion.
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Bloch functions of several complex variables [PDF]
Pacific Journal of Mathematics, 1992 The author presents various properties of the Bloch mappings \(f:\mathbb{B}\to\mathbb{C}^ n\), where \(\mathbb{B}\) denotes the unit Euclidean ball in \(\mathbb{C}^ n\). In particular, he proves the following results. Let \(f\) be a holomorphic mapping \(\mathbb{B}\to\mathbb{C}^ n\) and let \[ \| f\|_ B:=\sup\{\|(f\circ\varphi)'(0)\|:\;\varphi\in\text ...
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Presence or absence of analytic structure in maximal ideal spaces [PDF]
, 2014 We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks.
Izzo, Alexander J. +2 more
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A Note on Strongly Starlike Mappings in Several Complex Variables
Abstract and Applied Analysis, 2014 Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in ℂn and let α∈0,1. In this paper, we will show that if f is strongly starlike of order α in the sense of Liczberski and Starkov, then it is also strongly starlike of order α in ...
Hidetaka Hamada +3 more
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Journal of Mathematics, 2023 This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference ...
Yuxian Chen, Libing Xie, Hongyan Xu
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Bolzano's Theorem in Several Complex Variables [PDF]
Proceedings of the American Mathematical Society, 1980 Let Ω \Omega be a bounded domain in C n {C^n} containing the origin. Let f : Ω ¯ → C n f:\bar \Omega \to {C^n} be analytic in Ω
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Prescribing the Preschwarzian in several complex variables
, 2010 We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
Mathematics, 2023 The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova +2 more
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A note on monomials in several complex variables [PDF]
Proceedings of the American Mathematical Society, 1974 Monomials in C'1 are characterized in the polydisk algebra A(Un) as functions whose modulus is constant on the distinguished boundary of U' and whose zero set has an intersection with the diagonal of U', consisting (at most) of the origin. The note answers a question raised by F.
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