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Coefficient Regions for Schlicht Functions

About this Title

A. C. Schaeffer and D. C. Spencer

Publication: Colloquium Publications
Publication Year: 1950; Volume 35
ISBNs: 978-1-4704-2910-2 (print); 978-1-4704-3180-8 (online)
DOI: https://doi.org/10.1090/coll/035
MathSciNet review: MR0037908
MSC: Primary 30.0X

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. HISTORY OF SCHLICHT FUNCTIONS AND ELEMENTARY PROPERTIES OF THE $n$TH REGION
• Chapter 2. VARIATIONS OF SCHLICHT FUNCTIONS
• Chapter 3. THE CRITICAL POINTS OF THE DIFFERENTIAL EQUATION
• Chapter 4. THE $\Gamma$-STRUCTURE. BEHAVIOR IN THE LARGE
• Chapter 5. GEODESICS. CONTINUITY THEOREM
• Chapter 6. FUNCTIONS WHICH ARE REGULAR IN $| z | < 1$ AND SATISFY THE DIFFERENTIAL EQUATION
• Chapter 7. THE LENGTH-AREA PRINCIPLE. TEICHMÜLLER’S METHOD
• Chapter 8. RELATIONS BETWEEN $P(w)$ AND $Q(z)$
• Chapter 9. LÖWNER CURVES
• Chapter 10. LINEAR FORMS AND THE SUPPORTING SURFACE
• Chapter 11. THE PORTION OF THE BOUNDARY OF $V_n$ CORRESPONDING TO SINGLE ANALYTIC SLITS
• Chapter 12. PARAMETRIZATION OF THE BOUNDARY OF $V_n$
• Chapter 13. THE REGION $V_3$
• Chapter 14. A METHOD FOR INVESTIGATING THE CONJECTURE $| a_4 |\le 4$
• Chapter 15. THE REGION OF VALUES OF THE DERIVATIVE OF A SCHLICHT FUNCTION (BY ARTHUR GRAD)