3 The Calculus of Residues

Chapters in this book

1. Frontmatter I
2. Contents V
3. Foreword X
4. 1 Functions of a Complex Variable 1
5. 2 Cauchy’s Theorem 46
6. 3 The Calculus of Residues 90
7. 4 Dispersion Representations 125
8. 5 Analytic Continuation 133
9. 6 Asymptotic Expansions 150
10. 7 Padé Approximants 163
11. 8 Fourier Series and Transforms 180
12. 9 Ordinary Linear Differential Equations 234
13. 10 Partial Differential Equations and Boundary Value Problems 279
14. 11 Special Functions 313
15. 12 Non-Homogeneous Boundary Value Problems: Green’s Functions 384
16. 13 Integral Equations 418
17. Bibliography 434