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Elements of the Theory of Elliptic Functions

About this Title

N. I. Akhiezer. Translated by H. H. McFaden

Publication: Translations of Mathematical Monographs
Publication Year: 1990; Volume 79
ISBNs: 978-0-8218-0900-6 (print); 978-1-4704-4493-8 (online)
DOI: https://doi.org/10.1090/mmono/079
MathSciNet review: MR1054205
MSC: Primary 33E05; Secondary 11F12, 30-02, 33C75

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• General theorems about elliptic functions
• Modular functions
• The Weierstrass functions
• Theta functions
• The Jacobi functions
• Transformation of elliptic functions
• Additional facts about elliptic integrals
• Some conformal mappings
• Extremal properties of fractions to which a transformation of elliptic functions reduces
• Generalization of Tchebycheff polynomials
• Various supplements and applications

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