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Complex zeros of cylinder functions


Author: Boro Döring
Journal: Math. Comp. 20 (1966), 215-222
MSC: Primary 65.05
DOI: https://doi.org/10.1090/S0025-5718-1966-0192632-1
MathSciNet review: 0192632
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Abstract: All complex zeros of the cylinder functions $ {Y_n}(z),{H_n}^{(1)}(z){\text{ for }}n = 0$ and $ 1$, $ \vert z\vert < 158$, $ \vert\arg z\vert \leqq \pi $ and some complex zeros small in modulus of $ {Y_n}(z)$, $ {H_n}^{(1)}(z)$ for $ n = 2$, $ 3$, $ 4$, $ 5$, $ 15$ and $ \vert\arg z\vert \leqq \pi $ are tabulated accurate to $ 10D$. The methods (being partly new) for computing these zeros are described.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1966-0192632-1
Article copyright: © Copyright 1966 American Mathematical Society