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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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发表于 2025-3-21 18:10:53 | 显示全部楼层 |阅读模式
期刊全称Analytic Functions
影响因子2023Rolf Nevanlinna,B. Eckmann,B. L. Waerden
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学科分类Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Analytic Functions;  Rolf Nevanlinna,B. Eckmann,B. L. Waerden Book 19701st edition Springer-Verlag Berlin Heidelberg 1970 Analytische Funkt
Pindex Book 19701st edition
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https://doi.org/10.1057/9780230594296ns made at that time, results if we continue to assume that the given reference region is bounded by a finite set of Jordan arcs ., but take the point set . to be an arbitrary set of points on . instead of a set of boundary arcs. If the universal covering surface .∞ of . is once more mapped conforma
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https://doi.org/10.1057/9780230594296 this more briefly, . at every point of a given schlicht region .. Such a function . = .(.) is hence regular in . except for poles; if the latter are infinite in number, they accumulate toward the boundary . of .. We shall further restrict ourselves to the simplest case, where . is . connected; by t
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The Study: Rationale, Data and Methods,haracteristic .(.). Considered as a class, meromorphic functions whose characteristic is of a definite order of magnitude have a more complicated structure the higher the order of growth. Thus, for instance, we have found that among other functions meromorphic for |. < 1, meromorphic functions which
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Discourse, Culture and Organization the invariance of the sum .(., .) + .(., .), we set up as our main goal the more careful investigation of the relative strength of the two terms in the sum, of the proximity component .(., .) and of the counting component .(., .). Individual results in this direction have already been achieved:
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Discourse, Culture and Organizationuces to a constant ; we shall exclude this latter trivial case from future consideration. In connection with the first main theorem we have moreover found that such a function assumes . with a frequency .(., .) that corresponds to the characteristic .(., .). These results were sharpened for the case
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Postdisciplinary Studies in Discourse. onto which the disk |.| < . ≦ ∞ is conformally mapped by means of the given meromorphic function . = .(.). The following was essential to our investigation; 1. A metric was introduced on the surface . (e.g., a spherical metric in the case of the first main theorem, a non-euclidean [or still more g
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