Results 1 to 10 of about 15,612,251 (298)

Bergman projections on weighted Fock spaces in several complex variables [PDF]

Journal of Inequalities and Applications, 2017
Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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Solutions of complex nonlinear functional equations including second order partial differential and difference in C^2

Electronic Journal of Differential Equations, 2023
This article is devoted to exploring the existence and the form of finite order transcendental entire solutions of Fermat-type second order partial differential-difference equations $$ \Big(\frac{\partial^2 f}{\partial z_1^2}+\delta\frac{\partial^2 f ...
Hong Yan Xu, Goutam Haldar
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Bitlyan-Gol'dberg type inequality for entire functions and diagonal maximal term

Математичні Студії, 2020
In the article is obtained an analogue of Wiman-Bitlyan-Gol'dberg type inequality for entire $f\colon\mathbb{C}^p\to \mathbb{C}$ from the class $\mathcal{E}^{p}(\lambda)$ of functions represented by gap power series of the form $$ f(z)=\sum\limits_{k=0}^{
A. O. Kuryliak, O. B. Skaskiv, S. I. Panchuk   +2 more
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L-Index in Joint Variables: Sum and Composition of an Entire Function with a Function With a Vanished Gradient

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, Tetyana Salo, Oleh Skaskiv   +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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Hadamard compositions of Gelfond-Leont’ev-Sǎlǎgean and Gelfond-Leont’ev-Ruscheweyh derivatives of functions analytic in the unit disk

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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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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Harmonic Analysis Techniques in Several Complex Variables

Bruno Pini Mathematical Analysis Seminar, 2014
We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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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, Roman Dmytryshyn, Pavlo Kril, Serhii Sharyn   +3 more
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Parametric formal Gevrey asymptotic expansions in two complex time variable problems [PDF]

Opuscula Mathematica
The analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered.
Guoting Chen, Alberto Lastra, Stéphane Malek   +2 more
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