Complex zeros of cylinder functions

Döring, Boro

doi:10.1090/S0025-5718-1966-0192632-1

Complex zeros of cylinder functions
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Math. Comp. 20 (1966), 215-222 Request permission

Abstract:

All complex zeros of the cylinder functions ${Y_n}(z),{H_n}^{(1)}(z){\text { for }}n = 0$ and $1$, $|z| < 158$, $|\arg z| \leqq \pi$ and some complex zeros small in modulus of ${Y_n}(z)$, ${H_n}^{(1)}(z)$ for $n = 2$, $3$, $4$, $5$, $15$ and $|\arg z| \leqq \pi$ are tabulated accurate to $10D$. The methods (being partly new) for computing these zeros are described.

References

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