Extension theorems of Sakai type for separately holomorphic and meromorphic functions

Peter Pflug; Viêt Anh Nguyên

Displaying similar documents to “Extension theorems of Sakai type for separately holomorphic and meromorphic functions”

Meromorphic extension spaces

Le Mau Hai, Nguyen Van Khue (1992)

Annales de l'institut Fourier

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The aim of the present paper is to study meromorphic extension spaces. The obtained results allow us to get the invariance of meromorphic extendibility under finite proper surjective holomorphic maps.

Representation Theorems for Functions Holomorphic and Meromorphic in the Unit Disk.

Philip Pratt (1972)

Mathematische Zeitschrift

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Relative Inverses of Meromorphic Operator Functions and Associated Holomorphic Projection Function.

M.A. Kaashoek, H. Bart, D.C. Lay (1975)

Mathematische Annalen

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Normal families of bicomplex meromorphic functions

Kuldeep Singh Charak, Dominic Rochon, Narinder Sharma (2012)

Annales Polonici Mathematici

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We introduce the extended bicomplex plane 𝕋̅, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about convergence of sequences of bicomplex meromorphic functions. Hence the concept of normality of a family of bicomplex meromorphic functions on bicomplex domains emerges. Besides obtaining a normality criterion for such families, the bicomplex analog of the Montel theorem for meromorphic functions and the fundamental normality...

Notes on meromorphic dynamical systems, III

Otomar Hájek (1966)

Czechoslovak Mathematical Journal

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On the removable singularities for meromorphic mappings.

Evgeny M. Chirka (1996)

Publicacions Matemàtiques

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If E is a closed subset of locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold Ω and all the points of E are nonremovable for a meromorphic mapping of Ω E into a compact Kähler manifold, then E is a pure (n-1)-dimensional complex analytic subset of Ω.

On unique range sets of meromorphic functions in $ℂ^{m}$

Xiao-Tian Bai, Qi Han (2007)

Archivum Mathematicum

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By considering a question proposed by F. Gross concerning unique range sets of entire functions in $ℂ$ , we study the unicity of meromorphic functions in $ℂ^{m}$ that share three distinct finite sets CM and obtain some results which reduce $5 \leq c_{3} (ℳ (ℂ^{m})) \leq 9$ to $5 \leq c_{3} (ℳ (ℂ^{m})) \leq 6$ .

Displaying similar documents to “Extension theorems of Sakai type for separately holomorphic and meromorphic functions”

Meromorphic extension spaces

Representation Theorems for Functions Holomorphic and Meromorphic in the Unit Disk.

Relative Inverses of Meromorphic Operator Functions and Associated Holomorphic Projection Function.

Normal families of bicomplex meromorphic functions

Notes on meromorphic dynamical systems, III

On the removable singularities for meromorphic mappings.

On unique range sets of meromorphic functions in ℂ m

On unique range sets of meromorphic functions in $ℂ^{m}$