Skip to main content
SpringerLink
Log in

A generalization of Faber's polynomials

  • Published:
Mathematische Annalen 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.

Institutional subscriptions

References

  1. Faber, G.: Über polynomische Entwickelungen. Math. Ann.57, 389–408 (1903).

    Google Scholar 

  2. Faber, G.: Über Tschebyscheffsche Polynome. J. reine angew. Math.150, 79–106 (1920).

    Google Scholar 

  3. Fekete, M., andJ. L. Walsh: On the asymptotic behavior of polynomials with extremal properties, and of their zeros. J. d'Analyse Math.4, 49–87 (1954).

    Google Scholar 

  4. Fekete, M., andJ. L. Walsh: Asymptotic behavior of restricted extremal polynomials, and of their zeros. Pacific J. Math.7, 1037–1064 (1957).

    Google Scholar 

  5. Sewell, W. E.: Degree of approximation by polynomials in the complex domain. Ann. of Math. Stud. No. 9. Princeton 1942.

  6. Walsh, J. L.: Interpolation and Approximation, vol. 20 of the Colloquium Series of the Amer. Math. Soc. 1935.

  7. Walsh, J. L.: Sur l'approximation par fonctions rationnelles et par fonctions holomorphes bornées. Ann. di Mat. (4)39, 267–277 (1955).

    Google Scholar 

  8. Walsh, J. L.: On the conformal mapping of multiply connected regions. Trans. Amer. Math. Soc.82, 128–146 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Cambridge, Mass

    J. L. Walsh

Authors
  1. J. L. Walsh
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to ProfessorHeinrich Behnke on the occasion of his sixtieth anniversary

This research was sponsored (in part) by the U.S. Air Force Office of Scientific Research, of the Air Research and Development Command.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Walsh, J.L. A generalization of Faber's polynomials. Math. Ann. 136, 23–33 (1958). https://doi.org/10.1007/BF01350283

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350283

Search

Navigation