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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Functions having positive real part in an ellipse


Author: W. C. Royster
Journal: Proc. Amer. Math. Soc. 10 (1959), 266-269
MSC: Primary 30.00
MathSciNet review: 0105511
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References [Enhancements On Off] (What's this?)

  • [1] C. Carathéodory, Über den Variabilitätsbereich der Fourier'schen Konstanten von Positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo vol. 32 (1911) pp. 193-217.
  • [2] Zeev Nehari, Note on positive harmonic functions, J. London Math. Soc. 25 (1950), 19–26. MR 0033399 (11,435e)
  • [3] E. Picard, Traite d'Analyse, 3d ed. vol. 2, p. 336.
  • [4] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquim Publications vol. 23, p. 238.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1959-0105511-0
PII: S 0002-9939(1959)0105511-0
Article copyright: © Copyright 1959 American Mathematical Society