Results 41 to 50 of about 2,418,931 (242)
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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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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Pointwise estimates of weighted Bergman kernels in several complex variables [PDF]
, 2015 We prove new pointwise bounds for weighted Bergman kernels in $\mathbb{C}^n$, whenever a coercivity condition is satisfied by the associated weighted Kohn Laplacian on $(0,1)$-forms. Our results extend the ones obtained in $\mathbb{C}$ by Christ.
G. Dall’Ara
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Prescribing the preSchwarzian in several complex variables
Annales Academiae Scientiarum Fennicae Mathematica, 2011 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 $\C^n$. Then one can define a several variables $f\to f_α$ transform via the operator equation $[Df_α(z)]^{-1}D^2f_α(z)=α[Df(z)]^{-1 ...
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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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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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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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Uniformly starlike and uniformly convex mappings in several complex variables [PDF]
Проблемы анализа, 2000 In this paper we introduce some subclasses of biholomorphic mappings on the unit ball of ℂ n. These mappings called uniformly starlike and uniformly convex are introduced by geometric interpretation, like in the case of one variable.
Kanas S., Kohr G., Kohr M.
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Demonstratio Mathematica, 2023 In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
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