Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

A method for comparing univalent functions


Author: Gerald S. Goodman
Journal: Bull. Amer. Math. Soc. 75 (1969), 517-521
MathSciNet review: 0254224
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. G. S. Goodman, Univalent functions and optimal control, Thesis, Stanford University, California, 1968.
  • 2. Christian Pommerenke, Über die Subordination analytischer Funktionen, J. Reine Angew. Math. 218 (1965), 159–173 (German). MR 0180669 (31 #4900)
  • 3. C. Carathéodory, Vorlesungen über reelle Funktionen, Teubner, Leipzig, 1918.
  • 4. G. S. Goodman, A variational theory for Loewner's equation(to appear).
  • 5. Karl Löwner, Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I, Math. Ann. 89 (1923), no. 1-2, 103–121 (German). MR 1512136, http://dx.doi.org/10.1007/BF01448091
  • 6. Menahem Schiffer, Sur l’équation différentielle de M. Löwner, C. R. Acad. Sci. Paris 221 (1945), 369–371 (French). MR 0016130 (7,515a)
  • 7. C. Carathéodory, Über den Variabilitätsbereich der Fourier'schen Konstanten von positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo 38 (1914), 193-217.
  • 8. James A. Jenkins, On certain coefficients of univalent functions, Analytic functions, Princeton Univ. Press, Princeton, N.J., 1960, pp. 159–194. MR 0117345 (22 #8126a)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1969-12227-5
PII: S 0002-9904(1969)12227-5