Titlebook: Value Distribution Theory; Leo Sario,Kiyoshi Noshiro Book 1966 Springer Science+Business Media New York 1966 Finite.Meromorphic function.R

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Riemannian Images,apping functions but can, in essence, be derived from purely metric-topological properties of covering surfaces. We begin the present chapter by following rather closely Ahlfors’ original proof arrangement, unsurpassed in elegance by other presentations. The theory culminates in his fundamental ineq

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Riemannian Images,uality, often referred to as the nonintegrated form of the second main theorem on meromorphic functions. We shall also give this inequality and Picard’s theorem as localized by Noshiro [2] to a transcendental singularity of the inverse function.

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Functions of Bounded Characteristic,r, the approach has the advantage that log |.| on a regular subregion Ω can be decomposed. In the limit Ω → . valuable information is thus obtained provided . has bounded characteristic. It is this class . of meromorphic functions of bounded characteristic that will occupy us in the present chapter.