Skip to main content
SpringerLink
Log in

Integral representation and generating functions for the polynomialsU (α,β)n (x)

  • Published:
Lettere al Nuovo Cimento (1971-1985)

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. F. Calogero:Singular integral operators with integral eigenvalues and polynomial eigenfunctions, in press toNuovo Cimento, B.

  2. For the definition of Tchebichef polynomials see any standard compilation, f.i.:A. Erdélyi (editors):Higher Trascendental Functions, Vol.2 (New York, N. Y., 1953);M. Abramowits andI. A. Stegun (Editors):Handbook of Mathematical Functions (New York, N. Y., 1955);I. S. Gradshteyn andI. M. Ryzhik:Tables of Integrals, Series and Products (New York, N. Y., 1965) (translation from Russian edited byA. Jeffrey).

  3. See, for instance, eqs. 15.2(19) and 15.2(25) inTables of Integral Transforms, edited byA. Erdélyi, Vol.2 (New York, N. Y., 1954).

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica dell'Università, 00185, Roma

    F. Calogero

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Roma, Italia

    F. Calogero

Authors
  1. F. Calogero
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research reported in this paper has been supported in part by the CNR grant No. 78.00919.02.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Calogero, F. Integral representation and generating functions for the polynomialsU (α,β)n (x). Lett. Nuovo Cimento 24, 595–600 (1979). https://doi.org/10.1007/BF02815967

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02815967

Search

Navigation