Results 31 to 40 of about 15,024,563 (297)
Several topics in complex variables [PDF]
, 2015 This thesis is based on three articles in the field of Several Complex Variables.The first article, which is joint work with M. El Kadiri, defines and studies the concept of maximality for plurifinely plurisubharmonic functions. Its main result is that a finite plurifinely plurisubharmonic function u on a plurifine domain U satises (dd^c u)^n = 0 if ...
Smit, I.M.
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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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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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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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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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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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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The Standards for Psychosocial Care for Children with Cancer and Their Families (“Standards”) are evidence‐based guidelines for psychosocial care in pediatric oncology. Care related to the three “Asking and Monitoring” Standards—Assessment of Psychosocial Needs, Assessment of Financial Needs, and Monitoring Neurocognitive Problems ...
Julia B. Tager +8 more
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric thromboembolism is increasingly encountered in critical care. Systemic thrombolysis with tissue plasminogen activator (tPA) facilitates vessel or valve patency, yet pediatric‐specific protocols remain undefined, and safety concerns persist. Objective To evaluate the efficacy and safety of a tailored, prolonged systemic tPA
Eran Shostak +5 more
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