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Asymptotic Analysis of the Zeros of Hermite Polynomials

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Progress in Industrial Mathematics at ECMI 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 15))

Summary

We analyze the zeros of the Hermite polynomials H n (ξ) asymptotically as n→∞.Our formulas involve some special functions and they yield very accurate approximations.

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Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York at New Paltz, 1 Hawk Dr., New Paltz, NY, 12561-2443, USA

    Diego Dominici

Authors
  1. Diego Dominici
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Correspondence to Diego Dominici .

Editor information

Editors and Affiliations

  1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom

    Alistair D. Fitt

  2. Mathematical Institute, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    John Norbury

  3. Mathematical Institute, Ctr for Industrial & Applied Mathematics, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    Hilary Ockendon

  4. Dept. Engineering Mathematics, University of Bristol, University Walk, Bristol, BS8 1TR, United Kingdom

    Eddie Wilson

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Dominici, D. (2010). Asymptotic Analysis of the Zeros of Hermite Polynomials. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_8

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