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Topics in Complex Function Theory: Elliptic Functions and Uniformization Theory (Classics Library)

Author: 


ISBN-13: 

9780471608448


ISBN: 

0471608440


Publisher:  Wiley & Sons, Incorporated, John
Summary: ELLIPTIC FUNCTIONS. Doubling the Arc of a Lemniscate. The Euler Addition Theorem. Analytic Continuation. Riemann Regions. The Riemann Surface of the Function ao Z 4 a1 Z 3 a2 a3 Z a4 . The Elliptic Integral of the First Kind. The Inverse Function. The Covering Surface. The Periods. The Period Parallelogram. The Function. Expansion of the Function in a Series of Partial Fractions. The Inversion Problem. The Field of E...lliptic Functions. The Addition Theorem. Degenerate Elliptic Functions. UNIFORMIZATION. Algebraic Functions. Compact Riemann Regions. The Fundamental Group. Invariance of the Genus. The Poisson Integral. The Dirichlet Integral. Preliminaries for the Mapping Theorem. Construction of a Harmonic Function with Minimal Property. The Mapping Theorem. Uniformization of Algebraic Functions. Index. [read more]

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Topics in Complex Function Theory: Elliptic Functions and Uniformization Theory (Classics Library)

ISBN-13: 9780471608448


ISBN: 0471608440


Publisher: Wiley & Sons, Incorporated, John
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