Acta Mathematica

Tauberian theorems for multivalent functions

W. K. Hayman

Full-text: Open access

Article information

Source
Acta Math., Volume 125 (1970), 269-298.

Dates
Received: 4 December 1969
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.acta/1485889668

Digital Object Identifier
doi:10.1007/BF02392336

Mathematical Reviews number (MathSciNet)
MR268372

Zentralblatt MATH identifier
0201.41103

Rights
1970 © Almqvist & Wiksells Boktryckeri AB

Citation

Hayman, W. K. Tauberian theorems for multivalent functions. Acta Math. 125 (1970), 269--298. doi:10.1007/BF02392336. https://projecteuclid.org/euclid.acta/1485889668


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References

  • Carleson, L., On convergence and growth of partial sums of Fourier series. Acta Math., 116 (1966), 135–157.
  • Entire Functions and related parts of Analysis. Proceedings of symposia in Pure Mathematics, Volume XI, Amer. Math. Soc. Problems, p. 532, no. 2.
  • Halász, G., Tauberian theorems for univalent functions. Studia Sci. Math. Hung., 4 (1969), 421–440.
  • Hayman, W. K., Multivalent functions, Cambridge 1958. Referred to as M. F. in the text.
  • Pommerenke, C., Über die Mittelwerte und Koeffizienten multivalenter Funktionen. Math. Ann., 145 (1961/62), 285–96.
  • Sjölin, P., An inequality of Paley and convergence a.e. of Walsh-Fourier series. Ark. Mat., 7 (1968), 551–570.
  • Titchmarsh, E. C., The theory of functions. 2nd edn. Oxford 1939.
  • Young, W. H., On restricted Fourier series and the convergence of power series. Proc. London Math. Soc., 17 (1918), 353–366.