Open Access
VOL. 57 | 2010 Estimates on the number of the omitted values by meromorphic functions
Chapter Author(s) Atsushi Atsuji
Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai
Adv. Stud. Pure Math., 2010: 49-59 (2010) DOI: 10.2969/aspm/05710049

Abstract

We give some Nevanlinna's theorems for value distribution of meromorphic functions on general Kähler manifolds using stochastic calculus. We also give some examples where we can give explicit estimates on the number of the omitted values.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1201.32010
MathSciNet: MR2605410

Digital Object Identifier: 10.2969/aspm/05710049

Subjects:
Primary: 32H30 , 58J65

Keywords: Brownian motion on Kähler manifolds , Kähler diffusion , meromorphic functions , Nevanlinna theory , value distribution theory

Rights: Copyright © 2010 Mathematical Society of Japan

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