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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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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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, 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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Transcendental entire solutions of several Fermat type PDEs and PDDEs with two complex variables
Rocky Mountain Journal of Mathematics, 2021Hong Yan Xu, Jin Tu
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Professor Jinyuan Du: Citation for his 70th birthday
Complex Variables and Elliptic Equations, 2020Min Ku
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Solvability of the Neumann problem for complex hessian equations in balls
Complex Variables and Elliptic Equations, 2021exaly