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Improving the asymptotics for the greatest zeros of Hermite polynomials

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Publication:1904193
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DOI10.1016/0898-1221(95)00116-6zbMath0834.33004OpenAlexW2056026547MaRDI QIDQ1904193

Paolo Emilio Ricci

Publication date: 18 March 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00116-6


zbMATH Keywords

asymptotic expansionsHermite polynomialVolterra integral equationsLiouville-Stekloff method


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)


Related Items (5)

On asymptotic formulas for the first zero of the Bessel functionJv ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials ⋮ Asymptotic analysis of the Hermite polynomials from their differential–difference equation ⋮ Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials ⋮ Inequalities for real-root polynomials and entire functions



Cites Work

  • Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica
  • Asymptotics for the Greatest Zeros of Orthogonal Polynomials
  • Unnamed Item


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