Skip to main content
SpringerLink
Log in

Aq-analog of the Lagrange expansion

  • Published:
Archiv der Mathematik 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. G. E. Andrews, Identities in combinatorics II: Aq-analog of the Lagrange inversion theorem. Proc. Amer. Math. Soc.53, 240–245 (1975).

    Google Scholar 

  2. L. Carlitz, Someq-expansion formulas. Glasnik Mat.8, 205–214 (1973).

    Google Scholar 

  3. J. Cigler, Operatormethoden fürq-Identitäten. Monatsh. Math.88, 87–105 (1979).

    Google Scholar 

  4. J. Cigler, Operatormethoden fürq-Identitäten III: Umbrale Inversion und die Lagrangesche Formel. Arch. Math.35, 533–543 (1980).

    Google Scholar 

  5. J.Cigler, Operatormethoden fürq-Identitäten IV: Derq-Differenzenoperator. Preprint (Univ. Wien, 1979).

  6. J.Fürlinger and J.Hofbauer,q-Catalan numbers. Preprint 1983.

  7. A. M. Garsia, Aq-analogue of the Lagrange inversion formula. Houston J. Math.7, 205–237 (1981).

    Google Scholar 

  8. A. M. Garsia andS. A. Joni, A new expression for umbral operators and power series inversion. Proc. Amer. Math. Soc.64, 179–185 (1977).

    Google Scholar 

  9. A. M. Garsia andS. A. Joni, Composition sequences. Comm. Alg.8, 1195–1266 (1980).

    Google Scholar 

  10. I. Gessel, A noncommutative generalization and aq-analog of the Lagrange inversion formula. Trans. Amer. Math. Soc.257, 455–482 (1980).

    Google Scholar 

  11. I. Gessel andD. Stanton, Applications ofq-Lagrange inversion to basic hypergeometric series. Trans. Amer. Math. Soc.277, 173–201 (1983).

    Google Scholar 

  12. J. Hofbauer, A short proof of the Lagrange-Good formula. Discrete Math.25, 135–139 (1979).

    Google Scholar 

  13. J.Hofbauer, Lagrange Inversion. Publication de I.R.M.A. 191/S-05, Strasbourg (1982).

  14. F. H. Jackson, Aq-generalization of Abel's series. Rendiconti Palermo29, 340–346 (1910).

    Google Scholar 

  15. S. A. Joni, Lagrange inversion in higher dimensions and umbral operators. Linear and Multilinear Algebra6, 111–122 (1978).

    Google Scholar 

  16. Ch. Krattenthaler, A newq-Lagrange formula and some applications. Proc. Amer. Math. Soc.90, 338–344 (1984).

    Google Scholar 

  17. St. Roman andG.-C. Rota, The umbral calculus. Advances in Math.27, 95–188 (1978).

    Google Scholar 

  18. G.-C. Rota, D. Kahaner andA. Odlyzko, Finite operator calculus. J. Math. Anal. Appl.42, 685–760 (1973).

    Google Scholar 

Download references

Author information

Author notes

  1. Josef Hofbauer

    Present address: Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

Authors and Affiliations

    Authors
    1. Josef Hofbauer
      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

    Hofbauer, J. Aq-analog of the Lagrange expansion. Arch. Math 42, 536–544 (1984). https://doi.org/10.1007/BF01194051

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01194051

    Search

    Navigation