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A criterion of univalence in Cⁿ in terms of the Schwarzian derivative [PDF]

, 2022
Using the Loewner Chain Theory, we obtain a new criterion of uni- valence in Cⁿ in terms of the Schwarzian derivative for locally biholomorphic mappings. We as well derive explicitly the formula of this Schwarzian derivative using the numerical method of
HERNÁNDEZ, Rodrigo
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Application of Hayman’s Theorem to Directional Differential Equations With Analytic Solutions in the Unit Ball [PDF]

In this paper, we investigate analytic solutions of higher order linear non-homogeneous directional differential equations whose coefficients are analytic functions in the unit ball.
BANDURA, Andriy
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Dirichlet problem for pluriholomorphic functions of two complex variables [PDF]

, 2006
In this paper the Dirichlet problem for pluriholomorphic functions of two complex variables is investigated. The key point is the relation between pluriholomorphic functions and pluriharmonic functions.
Perotti, Alessandro
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On solutions of several Fermat-type partial differential-difference equations in C2

Demonstratio Mathematica
In this paper, we study entire solutions of several Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$ by applying Nevanlinna theory of meromorphic functions in several complex variables.
Tang Caoqiang, Huang Zhigang
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Мероморфни функции върху двумерния комплексен тор с предварително зададени стойности върху два пораждащи тора

, 2008
[Apostolova Lilia Nik.; Апостолова Лилия Ник.]A system of partial differential equations with constant complex coefficients on C^2 is considered. D’Alembert solution is given.
Apostolova, Lilia Nik.
core

Erythropoietin prevents necrotizing enterocolitis in very preterm infants: a randomized controlled trial. [PDF]