Zeros of the Macdonald function of complex order

DOI10.1016/j.cam.2006.11.014zbMath1132.33309arXivmath/0607471OpenAlexW2021168910MaRDI QIDQ2475391

Erasmo M. Ferreira, Javier Sesma

Publication date: 11 March 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607471

zbMATH Keywords

zerosMacdonald functionHankel functionmodified Bessel function of the third kind

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Relativistic quantum bouncing particles in a homogeneous gravitational field ⋮ On the complex zeros of Airy and Bessel functions and those of their derivatives ⋮ Neumann-Weber integral transform for complex indices ⋮ On an identity for zeros of Bessel functions ⋮ Asymptotic estimation for eigenvalues in the exponential potential and for zeros of \(K_{\mathrm{i}\nu} (z)\) with respect to order ⋮ High-Frequency Stability of Detonations and Turning Points at Infinity

Uses Software

• Algorithm 831
• MCD

Cites Work

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• Algorithm 831
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• Zeros of Hankel Functions and Poles of Scattering Amplitudes
• Diffraction of pulses by a circular cylinder

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