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Asymptotic behaviour of the zeros of the Jacobi polynomialsP at,btn (x) as t→∞ and limit relations of these polynomials with Hermite polynomials

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. We use the (standard) notation for Jacobi and Hermite polynomials used in A. Bbdélyi:Higher Transcendental Functions, Vol.2 (New York, N. Y., 1953).

  2. F. Calogero: (preceding paper).

  3. G. Szegö:Orthogonal Polynomials, Vol.23 (Providence, R. I., 1939), see 67.

  4. F. Calogero:Lett. Nuovo Cimenta,19, 505 (1977);Nuovo Oimento,43 B,177 (1978).

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  5. M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions (Washington, D. C, 1965), subsect.22, 15.

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Authors and Affiliations

  1. Istituto di Fisica dell’ Universitá, 00185, Roma

    F. Calogero

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

    F. Calogero

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  1. F. Calogero
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Calogero, F. Asymptotic behaviour of the zeros of the Jacobi polynomialsP at,btn (x) as t→∞ and limit relations of these polynomials with Hermite polynomials. Lett. Nuovo Cimento 23, 167–168 (1978). https://doi.org/10.1007/BF02856267

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  • DOI: https://doi.org/10.1007/BF02856267

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