Skip to main content
SpringerLink
Log in

A new method forq-hypergeometric series

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

We reintroduce a notation of Heine, which leads to a new method for computations and classifications ofq-special functions. The main topic of the new method is an involution operator on the set of allq-shifted factorials.

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

Similar content being viewed by others

References

  1. T. Ernst:A new method and its Application to Generalized q-Bessel Polynomials. U.U.D.M. Report 2001:10, ISSN 1101-3591, Department of Mathematics, Uppsala University, 2001.

  2. T. Ernst:Some new results for q-Laguerre Polynomials. In preparation.

  3. F.H. Jackson: Trans. R. Soc. Edin.46 (1908) 253.

    Google Scholar 

  4. I.M. Gelfand, M.I. Graev, and V.S. Retakh: Uspekhi Mat. Nauk47 (1992) 235 and 286; translation in Russian Math. Surveys47 (1992) 1.

    MathSciNet  Google Scholar 

  5. G. Gasper and M. Rahman:Basic hypergeometric series, Cambridge, 1990.

  6. W.N. Bailey:Hypergeometric series. Hafner, 1972.

  7. D.M. Bressoud: Proc. Indian Acad. Sci.: Math. Sci.97 (1987), No. 1–3, 61.

    Article  MathSciNet  Google Scholar 

  8. T.M. Apostol:Introduction to analytic number theory. Undergraduate texts in Mathematics, Springer, 1976.

  9. J. Cigler: Monatshefte für Mathematik91 (1981) 105.

    Article  MATH  MathSciNet  Google Scholar 

  10. F.H. Jackson: Mess. Math.50 (1921) 101.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06, Uppsala, Sweden

    Thomas Ernst

Authors
  1. Thomas Ernst
    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

Ernst, T. A new method forq-hypergeometric series. Czech J Phys 51, 1312–1317 (2001). https://doi.org/10.1023/A:1013365818891

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013365818891

Keywords

Search

Navigation