Mathematische Zeitschrift

, Volume 180, Issue 1, pp 19–40 | Cite as

New inequalities from old ones

  • William E. Kirwan
  • Glenn Schober
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Brickman, L., Wilken, D.R.: Support points of the set of univalent functions. Proc. Amer. Math. Soc.42, 523–528 (1974)Google Scholar
  2. 2.
    Chang, A., Schiffer, M., Schober, G.: On the second variation for univalent functions. J. Analyse Math. (to appear)Google Scholar
  3. 3.
    Duren, P.L.: Coefficients of meromorphic schlicht functions. Proc. Amer. Math. Soc.28, 169–172 (1971)Google Scholar
  4. 4.
    Friedland, S., Schiffer, M.: Global results in control theory with applications to univalent functions. Bull. Amer. Math. Soc.82, 913–915 (1976)Google Scholar
  5. 5.
    Friedland, S., Schiffer, M.: On coefficient regions of univalent functions. J. Analyse Math.31, 125–168 (1977)Google Scholar
  6. 6.
    Garabedian, P.R., Schiffer, M.: A coefficient inequality for schlicht functions. Ann. of Math.(2)61, 116–136 (1955)Google Scholar
  7. 7.
    Golusin, G.M.: On distortion theorems in the theory of conformal mapping. Mat. Sb.18, 379–390 (1946) [Russian]Google Scholar
  8. 8.
    Gronwall, T.H.: Sur la déformation dans la représentation conforme sous des conditions restrictives. C.R. Acad. Sci. Paris Sér. A162, 316–318 (1916)Google Scholar
  9. 9.
    Jenkins, J.A.: Symmetrization results for some conformal invariants. Amer. J. Math.75, 510–522 (1953)Google Scholar
  10. 10.
    Jenkins, J.A.: On certain coefficients of univalent functions II. Trans. Amer. Math. Soc.96, 534–545 (1960)Google Scholar
  11. 11.
    Jenkins, J.A.: On certain coefficients of univalent functions. In: Analytic Functions. Proceedings of a Conference (Princeton 1957), pp. 159–194 Princeton, N.J.: Princeton University Press 1960Google Scholar
  12. 12.
    Jenkins, J.A.: Univalent Functions and Conformal Mapping. Berlin-Heidelberg-New York: Springer 1965Google Scholar
  13. 13.
    Löwner, K.: Untersuchungen über schlichte konforme Abbildungen des Einheitskreises I. Math. Ann.89, 103–121 (1923)Google Scholar
  14. 14.
    Pearce, K.: New support points ofS and extreme points ofHS. Proc. Amer. Math. Soc.81, 425–428 (1981)Google Scholar
  15. 15.
    Pfluger, A.: Lineare Extremalprobleme bei schlichten Funktionen. Ann. Acad. Sci. Fenn. Ser. AI489 (1971)Google Scholar
  16. 16.
    Schiffer, M.: Sur un problème d'extrémum de la représentation conforme. Bull. Soc. Math. France66, 48–55 (1938)Google Scholar
  17. 17.
    Schober, G.: Univalent Functions-Selected Topics. Lecture Notes in mathematics478. Berlin-Heidelberg-New York: Springer 1974Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • William E. Kirwan
    • 1
  • Glenn Schober
    • 2
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkU.S.A.
  2. 2.Department of MathematicsIndiana UniversityBloomingtonU.S.A.

Personalised recommendations