Letter to the Editor: Note on the complex zeros of Hν'(x)+iζHν(x)=0

  • Authors:

  • Sven-Erik Sandström;Christian Ackrén

  • Affiliations:

  • Department of Mathematics and Systems Engineering, University of Växjö, S-351 95, Växjö, Sweden;Department of Mathematics and Systems Engineering, University of Växjö, S-351 95, Växjö, Sweden

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

Quantified Score

Hi-index 7.29

Visualization

Abstract

Approximations for the complex zeros in the @n-plane of the Hankel functions H"@n(x) and H"@n^'(x) are available in terms of the zeros of Airy functions. The corresponding zeros of a linear combination of Hankel functions are of interest when scattering from cylinders with a surface impedance is studied. A simple method to compute these zeros efficiently is presented.