Book contents
- Frontmatter
- Contents
- Preface
- List of notation
- 1 The algebra of polynomials
- 2 The degree principle and the fundamental theorem of algebra
- 3 The Jacobian problem
- 4 Analytic and harmonic functions in the unit disc
- 5 Circular regions and Grace's theorem
- 6 The Ilieff-Sendov conjecture
- 7 Self-inversive polynomials
- 8 Duality and an extension of Grace's theorem to rational functions
- 9 Real polynomials
- 10 Level curves
- 11 Miscellaneous topics
- References
- Index
4 - Analytic and harmonic functions in the unit disc
Published online by Cambridge University Press: 13 August 2009
Book contents
- Frontmatter
- Contents
- Preface
- List of notation
- 1 The algebra of polynomials
- 2 The degree principle and the fundamental theorem of algebra
- 3 The Jacobian problem
- 4 Analytic and harmonic functions in the unit disc
- 5 Circular regions and Grace's theorem
- 6 The Ilieff-Sendov conjecture
- 7 Self-inversive polynomials
- 8 Duality and an extension of Grace's theorem to rational functions
- 9 Real polynomials
- 10 Level curves
- 11 Miscellaneous topics
- References
- Index
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- Complex Polynomials , pp. 125 - 171Publisher: Cambridge University PressPrint publication year: 2002