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Modulus and phase of the reduced logarithmic derivative of the Hankel function


Authors: Andrés Cruz and Javier Sesma
Journal: Math. Comp. 41 (1983), 597-605
MSC: Primary 33A40; Secondary 65H05, 81F10
DOI: https://doi.org/10.1090/S0025-5718-1983-0717705-3
MathSciNet review: 717705
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Abstract: The modulus and phase of the reduced logarithmic derivative of the Hankel function

$\displaystyle zH_v^{(1)}{}' (z)/H_v^{(1)}(z)$

for complex variable z and real order v, are investigated. Special attention is paid to the location of saddle points and their trajectories as v varies.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1983-0717705-3
Keywords: Hankel functions, modulus and phase of the reduced logarithmic derivative, quantum potential scattering
Article copyright: © Copyright 1983 American Mathematical Society

American Mathematical Society