Skip to main content
SpringerLink
Log in

Absolute Cesaro summability and absolute convergence for starlike univalent functions

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bari, N.K.: Trigonometric series, Vol. 2. Moscow: Fitzmatgiz 1961; New York: MacMillan; Oxford: Pergamon Press 1964

    Google Scholar 

  2. Bosanquet, L.S.: The absolute Cesaro summability of a Fourier series. Proc. Lond. Math. Soc. II. Ser.41, 517–528 (1936)

    Google Scholar 

  3. Duren, P.L.: Theory ofH p spaces. New York: Academic Press 1970

    Google Scholar 

  4. Hayman, W.K.: Tauberian theorems for multivalent functions. Acta Math.125, 269–298 (1970)

    Google Scholar 

  5. Holland, F., Twomey, J.B.: On coefficient means of certain subclasses of univalent functions. Trans. Am. Math. Soc.185, 151–163 (1973)

    Google Scholar 

  6. Kogbetliantz, E.: Sur les series absolument sommables par la methode des moyennes arithmetiques. Bull. Sci. Math., II. Ser.49, 234–256 (1925)

    Google Scholar 

  7. Pommerenke, Ch.: On starlike and convex functions. J. Lond. Math. Soc.37, 209–224 (1962)

    Google Scholar 

  8. Pommerenke, Ch.: Univalent functions. Göttingen: Vandenhoeck and Ruprecht 1975

    Google Scholar 

  9. Sheil-Small, T.: Some conformal mapping inequalities for starlike and convex functions. J. Lond. Math. Soc., II. Ser.1, 577–587 (1969)

    Google Scholar 

  10. Twomey, J.B.: On the derivative of a starlike function. J. Lond. Math. Soc., II. Ser.2, 99–110 (1970)

    Google Scholar 

  11. Twomey, J.B.: On the absolute convergence of the Taylor series of close-to-convex functions on the unit circle. J. Lond. Math. Soc., II. Ser.29, 462–476 (1984)

    Google Scholar 

  12. Twomey, J.B.: Tangential limits of starlike univalent functions. Proc. Am. Math. Soc.97, 49–54 (1986)

    Google Scholar 

  13. Zygmund, A.: Trigonometric series (2nd edition), Vol. I. Cambridge: University Press 1959

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University College, Cork, Ireland

    J. B. Twomey

Authors
  1. J. B. Twomey
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by a grant from the Arts Faculty Fund, University College Cork

Rights and permissions

Reprints and permissions

About this article

Cite this article

Twomey, J.B. Absolute Cesaro summability and absolute convergence for starlike univalent functions. Math Z 195, 129–141 (1987). https://doi.org/10.1007/BF01161607

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01161607

Keywords

Search

Navigation