Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method

by Valery Serov and Markus Harju

The first two parts of this book focus on developing standard analysis concepts in the extended complex plane. We cover differentiation and integration of functions of one complex variable. Famous Cauchy formulas are established and applied in the frame of residue theory. Taylor series is used to investigate analytic functions, and they are connected to harmonic functions. Laurent series theory is developed.

The third part of the...

• Format: Paperback
• Language: English
• ISBN: 3111632113
• ISBN13: 9783111632117
• Release Date: April 2025
• Publisher: de Gruyter
• Length: 360 Pages