
AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Integral Representations and Residues in Multidimensional Complex Analysis
About this Title
L. A. Aĭzenberg and A. P. Yuzhakov
Publication: Translations of Mathematical Monographs
Publication Year:
1983; Volume 58
ISBNs: 978-0-8218-1550-2 (print); 978-1-4704-4472-3 (online)
DOI: https://doi.org/10.1090/mmono/058
MathSciNet review: MR735793
MSC: Primary 32A25; Secondary 32A27
Table of Contents
Front/Back Matter
Chapters
- Preliminaries
- I. Integral representations and the logarithmic residue
- II. Integral representations of special form for holomorphic functions
- III. The theory of residues
- IV. Applications to implicit functions, systems of nonlinear equations, computation of the multiplicity of a zero, and combinatorics
- V. Some applications in multidimensional complex analysis