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Asymptotics for the zeros of the generalized Bessel polynomials

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Publication:1813044
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DOI10.1007/BF01396239zbMath0782.33003MaRDI QIDQ1813044

Amos J. Carpenter

Publication date: 25 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133660

zbMATH Keywords

rate of convergenceBessel polynomials


Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)


Related Items

Asymptotic expansions of the generalized Bessel polynomials, Approximate closed-form formulas for the zeros of the Bessel polynomials, Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.



Cites Work

  • Unnamed Item
  • Bessel polynomials
  • Asymptotics for the zeros of the partial sums of \(e^ z\). I
  • On the zeros and poles of Padè approximants to \(e^z\). III
  • On the zeros and poles of Padé approximants to \(e^z\)
  • On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials
  • Zero-Free Parabolic Regions for Sequences of Polynomials
  • A Characterization of the Exponential Series
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