Meromorphic Dynamics Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions
Book contents
- Frontmatter
- Dedication
- Contents
- Contents of Volume I
- Preface
- Acknowledgments
- Introduction
- Part III Topological Dynamics of Meromorphic Functions
- Part IV Elliptic Functions: Classics, Geometry, and Dynamics
- 16 Classics of Elliptic Functions: Selected Properties
- 17 Geometry and Dynamics of (All) Elliptic Functions
- Part V Compactly Nonrecurrent Elliptic Functions: First Outlook
- Part VI Compactly Nonrecurrent Elliptic Functions: Fractal Geometry, Stochastic Properties, and Rigidity
- Appendix A A Quick Review of Some Selected Facts from Complex Analysis of a One-Complex Variable
- Appendix B Proof of the Sullivan Nonwandering Theorem for Speiser Class S
- References
- Index of Symbols
- Subject Index
16 - Classics of Elliptic Functions: Selected Properties
from Part IV - Elliptic Functions: Classics, Geometry, and Dynamics
Published online by Cambridge University Press: 20 April 2023
Book contents
- Frontmatter
- Dedication
- Contents
- Contents of Volume I
- Preface
- Acknowledgments
- Introduction
- Part III Topological Dynamics of Meromorphic Functions
- Part IV Elliptic Functions: Classics, Geometry, and Dynamics
- 16 Classics of Elliptic Functions: Selected Properties
- 17 Geometry and Dynamics of (All) Elliptic Functions
- Part V Compactly Nonrecurrent Elliptic Functions: First Outlook
- Part VI Compactly Nonrecurrent Elliptic Functions: Fractal Geometry, Stochastic Properties, and Rigidity
- Appendix A A Quick Review of Some Selected Facts from Complex Analysis of a One-Complex Variable
- Appendix B Proof of the Sullivan Nonwandering Theorem for Speiser Class S
- References
- Index of Symbols
- Subject Index
Summary
This chapter, interesting on its own, is devoted to presenting some account of the classical theory of elliptic functions. Almost no dynamics is involved here. We follow classical book expositions. We will actually not need this chapter anywhere else in the book except in one chapter where we provide a lot of examples of elliptic functions, mainly Weierstrass $\wp$ functions, but not only them.
- Type
- Chapter
- Information
- Meromorphic DynamicsElliptic Functions with an Introduction to the Dynamics of Meromorphic Functions, pp. 125 - 172Publisher: Cambridge University PressPrint publication year: 2023