Skip to main content
SpringerLink
Log in

The hadamard product and linear transformations of classes of analytic functions

  • Published:
Journal d’Analyse Mathématique Aims and scope

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.

Institutional subscriptions

References

  1. D. A. Brannan,On coefficient problems for certain power series, Proc. of the Symposium on Complex Analysis, Canterbury 1973, London Math. Soc. Lecture Note Series12, 17–27.

    Google Scholar 

  2. D. A. Brannan, J. G. Clunie and W. E. Kirwan,On the coefficient problem for functions of bounded boundary rotation, Ann. Acad. Sci. Fenn. Ser. AI 1973, No. 523, 18pp.

  3. M. Heins,On a theorem of Study concerning conformal maps with convex images, Mathematical Essays dedicated to A. J. Macintyre, Hari Shankar (ed.), Ohio University Press, 1970.

  4. I. S. Jack,Functions starlike and convex of order α, J. London Math. Soc.3 (1971), 469–474.

    Article  MATH  MathSciNet  Google Scholar 

  5. W. Kaplan,Close-to-convex schlicht functions, Michigan Math. J.1 (1952), 169–185.

    Article  MATH  MathSciNet  Google Scholar 

  6. John L. Lewis,Convolutions of starlike functions, Indiana Univ. Math. J.27 (1978), 671–688.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Marden,Geometry of Polynomials, Math. Surveys. No. 3, Amer. Math. Soc., 1966.

  8. G. Polya and I. J. Schoenberg,Remarks on de la Vallée Poussin Means and convex conformal maps of the circle, Pacific J. Math.8 (1958), 295–334.

    MATH  MathSciNet  Google Scholar 

  9. C. Pommerenke,Images of convex domains under convex conformal mappings, Michigan Math. J.9 (1962), 257.

    Article  MathSciNet  Google Scholar 

  10. St. Ruscheweyh,On Starlike Functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A28 (1974), 65–70.

    MathSciNet  Google Scholar 

  11. St. Ruscheweyh,Duality for Hadamard Products with applications to extremal problems for functions regular in the unit disc, Trans. Amer. Math. Soc.210 (1975), 63–74.

    Article  MATH  MathSciNet  Google Scholar 

  12. St. Ruscheweyh,Linear operators between classes of prestarlike functions, Comment. Math. Helv.52 (1977), 497–509.

    Article  MATH  MathSciNet  Google Scholar 

  13. St. Ruscheweyh and T. Sheil-Small,Hadamard Products of schlicht functions and the Polya-Schoenberg conjecture, Comment. Math. Helv.48 (1973), 119–135.

    Article  MATH  MathSciNet  Google Scholar 

  14. T. Sheil-Small,On linear accessibility and the conformal mapping of convex domains, J. Analyse Math.25 (1972), 259–276.

    Article  MATH  MathSciNet  Google Scholar 

  15. T. Sheil-Small,On linearly accessible univalent functions, J. London Math. Soc.6 (1973), 385–398.

    Article  MATH  MathSciNet  Google Scholar 

  16. T. J. Suffridge,Starlike functions as limits of polynomials, inAdvances in Complex Function Theory Springer Lecture Notes505, 1973/74, pp. 164–202.

    MathSciNet  Google Scholar 

  17. O. Toeplitz,Die linearen vollkommenen Räume der Funktionentheorie, Comment. Math. Helv.23 (1949), 222–242.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of York, Y01 5DD, Heslington, York, England

    T. Sheil-Small

Authors
  1. T. Sheil-Small
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was completed during the academic year 1977/78 while the author was visiting at the University of Kentucky.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sheil-Small, T. The hadamard product and linear transformations of classes of analytic functions. J. Anal. Math. 34, 204–239 (1978). https://doi.org/10.1007/BF02790013

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790013

Keywords

Search

Navigation