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A criterion of univalence in Cⁿ in terms of the Schwarzian derivative

, 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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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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Application of Hayman’s Theorem to Directional Differential Equations With Analytic Solutions in the Unit Ball

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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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.
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Meromorphic functions on the two-dimensional complex torus with prescribed value on two generating torus

, 2008
A system of partial differential equations with constant complex coefficients on C^2 is considered. D’Alembert solution is given. Existence of meromorphic solutions on the two-dimensional complex torus with prescribed value on two generating torus is ...
Apostolova, Lilia Nik.
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Erythropoietin prevents necrotizing enterocolitis in very preterm infants: a randomized controlled trial. [PDF]