Removable Singularity: Complex Analysis, Holomorphic Function, Indeterminate Form, Open Subset, Complex Plane - Couverture souple
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Removable Singularity
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In complex analysis, a removable singularity (sometimes called a cosmetic singularity) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point. Unlike functions of a real variable, holomorphic functions are sufficiently rigid that their isolated singularities can be completely classified. A holomorphic function's singularity is either not really a singularity at all, i.e. a removable singularity, or one of the following two types: 1. In light of Riemann's theorem, given a non-removable singularity, one might ask whether there exists a natural number m such that limz a(z a)m+1f(z) = 0. If so, a is called a pole of f and the smallest such m is the order of a. So removable singularities are precisely the poles of order 0. A holomorphic function blows up uniformly near its poles. 2. 128 pp. Englisch. N° de réf. du vendeur 9786131248351
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Removable Singularity : Complex Analysis, Holomorphic Function, Indeterminate Form, Open Subset, Complex Plane
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In complex analysis, a removable singularity (sometimes called a cosmetic singularity) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point. Unlike functions of a real variable, holomorphic functions are sufficiently rigid that their isolated singularities can be completely classified. A holomorphic function's singularity is either not really a singularity at all, i.e. a removable singularity, or one of the following two types: 1. In light of Riemann's theorem, given a non-removable singularity, one might ask whether there exists a natural number m such that limz a(z a)m+1f(z) = 0. If so, a is called a pole of f and the smallest such m is the order of a. So removable singularities are precisely the poles of order 0. A holomorphic function blows up uniformly near its poles. 2. N° de réf. du vendeur 9786131248351
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Removable Singularity | Complex Analysis, Holomorphic Function, Indeterminate Form, Open Subset, Complex Plane
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Taschenbuch. Etat : Neu. Removable Singularity | Complex Analysis, Holomorphic Function, Indeterminate Form, Open Subset, Complex Plane | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131248351 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113287312
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Removable Singularity
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9786131248351
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