Removable Singularity: Complex Analysis, Holomorphic Function, Indeterminate Form, Open Subset, Complex Plane - Tapa blanda

Removable Singularity

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In complexanalysis, a removable singularity (sometimes called a cosmeticsingularity) of a holomorphic function is a point at which the functionis undefined, but it is possible to define the function at that point insuch a way that the function is regular in a neighbourhood of thatpoint. Unlike functions of a real variable, holomorphic functions aresufficiently rigid that their isolated singularities can be completelyclassified. A holomorphic function's singularity is either not really asingularity at all, i.e. a removable singularity, or one of thefollowing two types: 1. In light of Riemann's theorem, given anon-removable singularity, one might ask whether there exists a naturalnumber m such that limz ¿ a(z ¿ a)m+1f(z) = 0. If so, a is called a poleof f and the smallest such m is the order of a. So removablesingularities are precisely the poles of order 0. A holomorphic functionblows up uniformly near its poles. 2.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 128 pp. Englisch. Nº de ref. del artículo: 9786131248351

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