Modulus and phase of the reduced logarithmic derivative of the Hankel function
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- by Andrés Cruz and Javier Sesma PDF
- Math. Comp. 41 (1983), 597-605 Request permission
Abstract:
The modulus and phase of the reduced logarithmic derivative of the Hankel function \[ zH_v^{(1)}{}’ (z)/H_v^{(1)}(z)\] 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.References
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- Andrés Cruz and Javier Sesma, Zeros of the Hankel function of real order and of its derivative, Math. Comp. 39 (1982), no. 160, 639–645. MR 669655, DOI 10.1090/S0025-5718-1982-0669655-8
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Additional Information
- © Copyright 1983 American Mathematical Society
- 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