Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- List of Symbols
- Part I Combinatorial Enumeration
- 1 Introduction
- 2 Generating functions
- 3 Univariate asymptotics
- Part II Mathematical Background
- Part III Multivariate Enumeration
- Appendix A Integration on manifolds
- Appendix B Algebraic topology
- Appendix C Residue forms and classical Morse theory
- Appendix D Stratification and stratified Morse theory
- References
- Author Index
- Subject Index
3 - Univariate asymptotics
from Part I - Combinatorial Enumeration
Published online by Cambridge University Press: 08 February 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- List of Symbols
- Part I Combinatorial Enumeration
- 1 Introduction
- 2 Generating functions
- 3 Univariate asymptotics
- Part II Mathematical Background
- Part III Multivariate Enumeration
- Appendix A Integration on manifolds
- Appendix B Algebraic topology
- Appendix C Residue forms and classical Morse theory
- Appendix D Stratification and stratified Morse theory
- References
- Author Index
- Subject Index
Summary
This chapter gives a quick tour of classic material in univariate analytic combinatorics, including rational and meromorphic generating functions, Darboux’s method, the transfer theorems of singularity analysis, and saddle point methods for essential singularities.
- Type
- Chapter
- Information
- Analytic Combinatorics in Several Variables , pp. 60 - 86Publisher: Cambridge University PressPrint publication year: 2024