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Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables [PDF]
Symmetry, 2020 This paper is devoted to a generalization of the well-known Fekete-Szegö type coefficients problem for holomorphic functions of a complex variable onto holomorphic functions of several variables.
Renata Długosz, Piotr Liczberski
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Topological properties of the Fréchet space of holomorphic functions of several complex variables
Mathematica Montisnigri, 2023 Let 𝑁p(𝐵n) (𝑝 > 1) be the Privalov class of holomorphic functions on the unit ball 𝐵n in the space of 𝑛-complex variables. The class 𝑁p(𝐵n) (𝑝 > 1), equipped with the topology given by a natural metric, becomes an 𝐹-algebra.
Yasuo Iida
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Extremal Problems of Some Family of Holomorphic Functions of Several Complex Variables [PDF]
Symmetry, 2019 Many authors, e.g., Bavrin, Jakubowski, Liczberski, Pfaltzgraff, Sitarski, Suffridge, and Stankiewicz, have discussed some families of holomorphic functions of several complex variables described by some geometrical or analytical conditions.
Edyta Trybucka
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New properties of some families of holomorphic functions of several complex variables [PDF]
, 2009 The paper concerns holomorphic functions in complete bounded n-circular domains of the space Cn and presents some properties of the above mentioned functions belonging to the families described by some geometrical or analytical conditions.
Edyta Leś-Bomba, Piotr Liczberski
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A Removability Result for Holomorphic Functions of Several Complex Variables
, 2016 Suppose that I© is a domain of C n , n ≥1 , E âS‚I© closed in I© , the Hausdorff measure H 2 n -1 (E) = 0 , and AE’ is holomorphic in I©\ E .
Juhani Riihentaus
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Approximation by holomorphic functions of several complex variables [PDF]
, 2020 Steven G. Krantz, Baili Min
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, 2016 . In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda’s theorem, the Marty’s theorem
Tingbin Cao, Zhixue Liu
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Representation of pseudo-holomorphic functions of several complex variables [PDF]
, 1976 Akira Koohara
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