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Schwarz Reflection Principle: Mathematics, Analytic Function, Complex Variable, Complex Conjugate, Real Axis, Real Number - Couverture souple
Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Schwarz reflection principle is a way to extend the domain of definition of an analytic function of a complex variable F, which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis. In that case, writing * for complex conjugate, the putative extension of F to the rest of the complex plane is F(z*)* or F(z*) = F*(z). That is, we make the definition that agrees along the real axis. The result proved by H. A. Schwarz is as follows. Suppose that F is holomorphic, for z with imaginary part > 0, and a real-valued continuous function on the real axis. Then the extension formula given above is an analytic continuation to the whole complex plane.
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Schwarz Reflection Principle
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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 mathematics, the Schwarz reflection principle is a way to extend the domain of definition of an analytic function of a complex variable F, which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis. In that case, writing for complex conjugate, the putative extension of F to the rest of the complex plane is F(z ) or F(z ) = F (z). That is, we make the definition that agrees along the real axis. The result proved by H. A. Schwarz is as follows. Suppose that F is holomorphic, for z with imaginary part 0, and a real-valued continuous function on the real axis. Then the extension formula given above is an analytic continuation to the whole complex plane. 72 pp. Englisch. N° de réf. du vendeur 9786131164361
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Schwarz Reflection Principle : Mathematics, Analytic Function, Complex Variable, Complex Conjugate, Real Axis, Real Number
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the Schwarz reflection principle is a way to extend the domain of definition of an analytic function of a complex variable F, which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis. In that case, writing for complex conjugate, the putative extension of F to the rest of the complex plane is F(z ) or F(z ) = F (z). That is, we make the definition that agrees along the real axis. The result proved by H. A. Schwarz is as follows. Suppose that F is holomorphic, for z with imaginary part 0, and a real-valued continuous function on the real axis. Then the extension formula given above is an analytic continuation to the whole complex plane. N° de réf. du vendeur 9786131164361
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Schwarz Reflection Principle
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -High Quality Content by WIKIPEDIA articles! In mathematics, the Schwarzreflection principle is a way to extend the domain of definition of ananalytic function of a complex variable F, which is defined on the upperhalf-plane and has well-defined and real number boundary values on thereal axis. In that case, writing \* for complex conjugate, the putativeextension of F to the rest of the complex plane is F(z\*)\* or F(z\*) =F\*(z). That is, we make the definition that agrees along the real axis.The result proved by H. A. Schwarz is as follows. Suppose that F isholomorphic, for z with imaginary part > 0, and a real-valuedcontinuous function on the real axis. Then the extension formula givenabove is an analytic continuation to the whole complex plane.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch. N° de réf. du vendeur 9786131164361
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