About the defects of curves holomorphic in the half plane.

Hossain, Moqbul

Displaying similar documents to “About the defects of curves holomorphic in the half plane.”

On holomorphic functions with certain extremal properties of its absolute values.

Schmersau, Dieter (1981)

International Journal of Mathematics and Mathematical Sciences

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Extension theorems of Sakai type for separately holomorphic and meromorphic functions

Peter Pflug, Viêt Anh Nguyên (2003)

Annales Polonici Mathematici

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We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.

Schwarzian derivatives of topologically finite meromorphic functions.

Epstein, Adam Lawrence (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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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 $5 \leq c_{3} (ℳ (ℂ^{m})) \leq 6$ .

Analytic functions

Stanisław Saks, Antoni Zygmund

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CONTENTS PREFACE................................... III PREFACE TO THE ENGLISH EDITION................................... VII INTRODUCTION. THEORY OF SETS § 1. Fundamental definitions................................... 1 § 2. Denumerable sets................................... 3 § 3. Abstract topological space................................... 4 § 4. Closed and open sets................................... 6 § 5. Connected sets................................... 11 § 6. Compact sets......................................

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

Philip Pratt (1972)

Mathematische Zeitschrift

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Notes on meromorphic dynamical systems, III

Otomar Hájek (1966)

Czechoslovak Mathematical Journal

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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...

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.