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Schwarz Reflection Principle: Mathematics, Analytic Function, Complex Variable, Complex Conjugate, Real Axis, Real Number - Softcover
Inhaltsangabe
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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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. Zustand: 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. Bestandsnummer des Verkäufers 9786131164361
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Schwarz Reflection Principle : Mathematics, Analytic Function, Complex Variable, Complex Conjugate, Real Axis, Real Number
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9786131164361
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Schwarz Reflection Principle
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9786131164361
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