Skip to main content
Log in

Derivatives of Generalized Gegenbauer Polynomials

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We prove some new formulas for the derivatives of the generalized Gegenbauer polynomials associated with the Lie algebra A 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. H. Bateman and A. Erdély, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).

    Google Scholar 

  2. F. Calogero, J. Math. Phys., 12, 419–436 (1971).

    Google Scholar 

  3. B. Sutherland, Phys. Rev. A, 4, 2019–2021 (1972).

    Google Scholar 

  4. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep., 94, 313–404 (1983).

    Google Scholar 

  5. A. M. Perelomov, J. Phys. A, 31, L31–L37 (1998).

    Google Scholar 

  6. A. M. Perelomov, E. Ragoucy, and Ph. Zaugg, J. Phys. A, 31, L559–L565 (1998).

    Google Scholar 

  7. A. M. Perelomov, J. Phys. A, 32, 8563–8576 (1999).

    Google Scholar 

  8. A. M. Perelomov, “Quantum integrable systems and special functions,” in: Lie Theory and Its Applications in Physics-III (Proc. Clausthal Conference 1999, H.-D. Doebner, V. K. Dobrev, and J. Hilgert, eds.), World Scientific, Singapore (2000), pp. 139–154.

    Google Scholar 

  9. H. Jack, Proc. Roy. Soc. Edinburgh A, 69, 1–18 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

García Fuertes, W., Perelomov, A.M. Derivatives of Generalized Gegenbauer Polynomials. Theoretical and Mathematical Physics 131, 609–611 (2002). https://doi.org/10.1023/A:1015464413079

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015464413079

Navigation