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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
Table of Contents
Front/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