
- 150 pages
- English
- PDF
- Available on iOS & Android
Some Topics in Complex Analysis
About this book
International Series of Monographs in Pure and Applied Mathematics, Volume 86, Some Topics in Complex Analysis deals with a variety of topics related to complex analysis. This book discusses the method of comparison, periods of an integral, generalized Joukowski transformations, and Koebe's distortion theorems. The deductions from the maximum-modulus principle, canonical products and genus of an I.F., and Weierstrass's primary factors are also reviewed. This text likewise considers Mittag-Leffler's theorem, summation of series by the calculus of residues, definition of regular functions by integrals, and Riemann zeta function. This publication is a good reference for students and specialists researching in the field of applied and pure mathematics.
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Table of contents
- Front Cover
- Some Topics in Complex Analysis
- Copyright Page
- Table of Contents
- PREFACE
- CHAPTER 1. ELLIPTIC FUNCTIONS
- CHAPTER 2. THE JACOBIAN ELLIPTIC FUNCTIONS
- CHAPTER 3. CONFORMAL TRANSFORMATION
- CHAPTER 4. SCHLICHT FUNCTIONS
- CHAPTER 5. THE MAXIMUM-MODULUS PRINCIPLE
- CHAPTER 6. INTEGRAL FUNCTIONS
- CHAPTER 7. EXPANSIONS IN INFINITE SERIES
- CHAPTER 8. CONTOUR INTEGRALS DEFINING SOME SPECIAL FUNCTIONS
- BIBLIOGRAPHY
- INDEX
- OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS