منابع مشابه
Geometric theory of meromorphic functions
This is a survey of results on the following problem. Let X be a simply connected Riemann surface spread over the Riemann sphere. How are the properties of the uniformizing function of this surface related to the geometric properties of the surface? 2000 Mathematics Subject Classification: 30D30, 30D35, 30D45, 30F45.
متن کاملA Contribution to the Theory of Formal Meromorphic Functions
In my paper [F3] I more or less explicitly conjectured that if A is a complete local integral domain with maximal ideal m and if I = (tί9 , tn) is an ideal in A with n < dim (A) — 2, then Spec (A/7) — m is G3 in Spec (A) — m. This will be proved in this paper. Unfortunately the algebraisation-theorems for subsheaves in [F3] make great difficulties in this context, and I only can prove similar t...
متن کاملAhlfors’ contribution to the theory of meromorphic functions
This is an expanded version of one of the Lectures in memory of Lars Ahlfors in Haifa in 1996. Some mistakes are corrected and references added. This article is an exposition for non-specialists of Ahlfors’ work in the theory of meromorphic functions. When the domain is not specified we mean meromorphic functions in the complex plane C. The theory of meromorphic functions probably begins with t...
متن کاملOn the Genus of Meromorphic Functions
We define the class of Left Located Divisor (LLD) meromorphic functions and their vertical order m0(f) and their convergence exponent d(f). When m0(f) ≤ d(f) we prove that their Weierstrass genus is minimal. This explains the phenomena that many classical functions have minimal Weierstrass genus, for example Dirichlet series, the Γ-function, and trigonometric functions. 1. LLD meromorphic funct...
متن کاملOn uniqueness of meromorphic functions sharing five small functions on annuli
The purpose of this article is to investigate the uniqueness of meromorphic functions sharing five small functions on annuli.
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ژورنال
عنوان ژورنال: Japanese journal of mathematics :transactions and abstracts
سال: 1929
ISSN: 0075-3432,1861-3624
DOI: 10.4099/jjm1924.6.0_119