Coefficient regions for schlicht functions / by A. C. Schaeffer and D. C. Spencer ; with a chapter on The region of values of the derivative of a schlicht function, by Arthur Grad.

Format:

Book

Author/Creator:

Schaeffer, A. C. (Albert Charles), 1907- author.

Series:

Colloquium publications (American Mathematical Society) ; v. 35.

Colloquium Publications, 2473-3946 ; v. 35

Language:

English

Subjects (All):

Univalent functions.

Surfaces, Representation of.

Physical Description:

1 online resource (xi, 311 pages : illustrations (some color))

Place of Publication:

New York : American Mathematical Society, 1950.

System Details:

Mode of access : World Wide Web

Contents:

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)

Notes:

Bibliography: pages 304-305.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Schaeffer, A. C. 1907- Coefficient regions for schlicht functions /

ISBN:

9781470431808 (online)

Access Restriction:

Restricted for use by site license.