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Titlebook: Analytic Functions; Rolf Nevanlinna,B. Eckmann,B. L. Waerden Book 19701st edition Springer-Verlag Berlin Heidelberg 1970 Analytische Funkt

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The Study: Rationale, Data and Methods,t everywhere on the bounding circle |.| = 1, which is not generally the case otherwise. The boundedness of the characteristic of a function meromorphic in the entire plane . ≠ ∞ implies that the function is constant. For rational functions .(.) = .(log .), while for a transcendental function the ratio .(.):log . is unbounded as . → ∞..
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Michał Krzyżanowski,Aleksandra Galasińskaacterization of various extremal properties, for example. The introduction of such metrics is therefore altogether natural, and we would seem to be justified in developing the theory of such metrics systematically, not worrying about their relationship to the usual metrics (euclidean or spherical).
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Discourse, Culture and Organizationinto . which correspond one-to-one to the branch points of . in such a way that one elementary region with 2m sides is associated with a branch point of order . — 1. Corresponding in the complex to the sheets which are unramified over the base points are two-sided figures (double 1ine segments).
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Application of the Second Main Theorem,ponential function has two exceptional values (0, ∞), and in VIII, § 4, we have discussed a case where a lowering of the type or the class of .(., .) occurs for two values of .. That the number of such exceptional values cannot exceed ., on the other hand, is the essential content of the extension of Picard’s theorem given by . [1].
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https://doi.org/10.1057/9780230594296infinite in number, they accumulate toward the boundary . of .. We shall further restrict ourselves to the simplest case, where . is . connected; by the mono-dromy theorem, .(.) is then single-valued in ..
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The First Main Theorem in the Theory of Meromorphic Functions,infinite in number, they accumulate toward the boundary . of .. We shall further restrict ourselves to the simplest case, where . is . connected; by the mono-dromy theorem, .(.) is then single-valued in ..
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