Extremum problems for bounded univalent functions

Author(s)

• Tammi, O.

Bibliographic Information

Extremum problems for bounded univalent functions

Olli Tammi

（Lecture notes in mathematics, 646, 913）

Springer-Verlag, 1978-

• [1] : Berlin
• [1] : New York
• 2 : Berlin
• 2 : New York

Note

Includes bibliographical references

Description and Table of Contents

Volume

[1] : Berlin ISBN 9783540087564

Table of Contents

Loewner-functions.- Generalized Loewner-functions.- A generalization of the class S(b).- Functions with bounded boundary rotation.- Variation of Green's function.- The schiffer-condition for S(b)-functions.- The coefficient a3.- The power inequality.- Application to the coefficient a3 and a4.- Optimization of parameters for N=1.- Optimization in the case N=3.- The power inequality.- On generalizing the power inequality.

Volume

2 : Berlin ISBN 9783540112006

Table of Contents

Determination of the coefficient body (a2, a3) by aid of a perfect square method.- The linear combination a3+?a2 in SR(b).- Re (a3+?a2) in S(b).- Determination of extremal domains.- A Loewner-identity for finding the Power-inequality for a second coefficient body in SR(b).- Schiffer's differential equation for functions 2?3.- A generalized power-inequality for SR(b)-functions.- Consequences for the second coefficient body in SR(b).

by "Nielsen BookData"

Details

• NCID: BA00701359
• ISBN:
  • 3540087567
  • 0387087567
  • 3540112006
  • 0387112006
• LCCN: 78006555
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: v.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA331
  • DC19 : 510 s
  • DC19 : 515.9
  • NDC8 : 413.52
• Subject Headings:
  • LCSH : Univalent functions
  • LCSH : Maxima and minima
• Parent Bibliography ID:
  • BA00146586