Skip to main content
SpringerLink
Log in

On the zeros of the hypergeometric function

  • 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. Bateman, H.: Higher Transcendental Functions, Vol. I. New York, Toronto, London: McGraw-Hill Book Company, Inc., 1953.

    Google Scholar 

  2. Hurwitz, A.: Über die Nullstellen der hypergeometrischen Reihe. Math. Ann.38, 452–458 (1891).

    Google Scholar 

  3. -- Über die imaginären Nullstellen der hypergeometrischen Funktion. Nachr. Ges. Wiss. Göttingen 275–277 (1906).

  4. —— Über die Nullstellen der hypergeometrischen Funktion. Math. Ann.64, 517–560 (1907).

    Google Scholar 

  5. Van Vleck, E. B.: A determination of the number of real and imaginary roots of the hypergeometric series. Trans. Amer. Math. Soc.3, 110–131 (1902).

    Google Scholar 

  6. Herglotz, G. A.: Über die Nullstellen der hypergeometrischen Funktion. Ber. Sächs. Ges. Wissensch., Leipzig69, 510–534 (1917).

    Google Scholar 

  7. Schafheitlin, P.: Die Nullstellen der hypergeometrischen Funktion. Sitzungsber. Berl. Math. Ges.7, 19–28 (1908).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Abteilung für Mathematik, Universität Ulm, Postfach 1130, BRD-7900, Ulm, Germany

    Hans-J. Runckel

Authors
  1. Hans-J. Runckel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Runckel, HJ. On the zeros of the hypergeometric function. Math. Ann. 191, 53–58 (1971). https://doi.org/10.1007/BF01433471

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01433471

Keywords

Search

Navigation