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9780471608448

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

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  • ISBN-13: 9780471608448
  • ISBN: 0471608440
  • Publisher: Wiley & Sons, Incorporated, John

AUTHOR

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 Elliptic 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.Siegel, Carl L. is the author of 'Topics in Complex Function Theory: Elliptic Functions and Uniformization Theory (Classics Library)' with ISBN 9780471608448 and ISBN 0471608440.

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