The zeros of Hankel functions as functions of their order

DOI10.1007/BF01436080zbMath0145.07503MaRDI QIDQ2523758

James Alan Cochran

Publication date: 1965

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

Full work available at URL: https://eudml.org/doc/131658

zbMATH Keywords

special functions

Related Items

Error Bounds for Asymptotic Approximations of Zeros of Hankel Functions Occurring in Diffraction Problems ⋮ Analytical methods for an elliptic singular perturbation problem in a circle ⋮ Note on the complex zeros of \(H^{\prime}_{\nu}+\mathrm i\zeta H_{\nu}(x)=0\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Asymptotic estimation for eigenvalues in the exponential potential and for zeros of \(K_{\mathrm{i}\nu} (z)\) with respect to order ⋮ Zeros of the Macdonald function of complex order ⋮ Partial differential equation techniques in transmutation ⋮ A Bessel–Watson transform pair

Cites Work

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• The zeros of the Hankel function as a function of its order
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Zeros of Hankel Functions and Poles of Scattering Amplitudes