Lettere al Nuovo Cimento (1971-1985)

, Volume 23, Issue 3, pp 101–102 | Cite as

Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomialL n α (x) as the Index α → ∞ and limiting formula relating Laguerre polynomials of large index and large argument to hermite polynomials

  • F. Calogero
Article

References

  1. (1).
    We use for Laguerre and Hermite polynomials the (standard) notation of A. Erdélyi (Editor):Higher Transcendental Functions, Vol. 3 (New York, N. Y., 1953).Google Scholar
  2. (3).
    G. Szegö:Orthogonal Polynomials, Vol.23 (Providence, R. I., 1939), subsect.6’7.Google Scholar
  3. (5).
    P. Sabatier:Lett. Nuovo Cimento,21, 41 (1978).MathSciNetCrossRefGoogle Scholar
  4. (6).
    F. Calogero:Lett. Nuovo Cimento,19, 505 (1977);Nuovo Cimento,43 B, 177 (1978).MathSciNetCrossRefGoogle Scholar
  5. (7).
    See, lor instance,M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions (Washington, D. C, 1964), subsect.22.15.Google Scholar

Copyright information

© Società Italiana di Fisica 1978

Authors and Affiliations

  • F. Calogero
    • 1
    • 2
  1. 1.Istituto di Fisica dell’ UniversitàRoma
  2. 2.Sezione di RomaIstituto Nazionale di Fisica NueleareItaly

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