Note on the complex zeros of Hν′(x)+iζHν(x)=0
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摘要
Approximations for the complex zeros in the ν-plane of the Hankel functions Hν(x) and Hν′(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.
论文关键词:33C10,34E05,78A45,Zeros of special functions,Asymptotic expansions,Iterative solution
论文评审过程:Received 13 September 2005, Revised 17 January 2006, Available online 31 March 2006.
论文官网地址:https://doi.org/10.1016/j.cam.2006.01.032