tables of zeros

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11: 15.13 Zeros

… ►A small table of zeros is given in Conde and Kalla (1981) and Segura (2008).

12: 8.13 Zeros

… ►The values of the first six double zeros are given to 5D in Table 8.13.1. … ►

Table 8.13.1: Double zeros $(a_n^{\ast },x_n^{\ast })$ of ${\gamma }^{\ast }(a,x)$.

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$n$	$a_n^{\ast }$		$x_n^{\ast }$
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13: 9.17 Methods of Computation

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§9.17(v) Zeros

►Zeros of the Airy functions, and their derivatives, can be computed to high precision via Newton’s rule (§3.8(ii)) or Halley’s rule (§3.8(v)), using values supplied by the asymptotic expansions of §9.9(iv) as initial approximations. This method was used in the computation of the tables in §9.9(v). See also Fabijonas et al. (2004). ►For the computation of the zeros of the Scorer functions and their derivatives see Gil et al. (2003c).

14: 22.4 Periods, Poles, and Zeros

… ►Table 22.4.2 displays the periods and zeros of the functions in the $z$-plane in a similar manner to Table 22.4.1. … ►

Table 22.4.2: Periods and zeros of Jacobian elliptic functions.

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Periods	$z$-Zeros
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15: Bibliography F

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Table errata; Complex zeros of Fresnel integrals. Math. Comp. 27 (121), pp. 219.

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Notes:

Errata in Abramowitz and Stegun (1964)

External Links:

FullText, MathReview

Referenced by:

(7.13.6), §7.13(iii).

Encodings:

BibTeX

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16: 9.12 Scorer Functions

… ►For the above properties and further results, including the distribution of complex zeros, asymptotic approximations for the numerically large real or complex zeros, and numerical tables see Gil et al. (2003c). …

17: Bibliography B

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Tables of modified Struve functions of orders zero and unity.

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Notes:

Part of the Unpublished Mathematical Tables. Reviewed in Math. Comp., v. 18 (1964), no. 86, p. 332.

Referenced by:

3rd item.

Encodings:

BibTeX

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Bessel Functions. Part I: Functions of Orders Zero and Unity. Mathematical Tables, Volume 6, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-04319-0, ZentralBlatt

Referenced by:

§10.1, 1st item, 1st item, 1st item.

Encodings:

BibTeX

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18: 10.70 Zeros

… ►In the case $\nu =0$, numerical tabulations (Abramowitz and Stegun (1964, Table 9.12)) indicate that each of (10.70.2) corresponds to the $m$th zero of the function on the left-hand side. …

19: Bibliography O

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Bessel Functions. Part III: Zeros and Associated Values. Royal Society Mathematical Tables, Volume 7, Cambridge University Press, Cambridge-New York.

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External Links:

ISBN 0-521-06153-9, MathReview (L. Fox), ZentralBlatt

Referenced by:

§10.21(vi), §10.21(viii), §10.58, §10.74(vi), 1st item, 2nd item.

Encodings:

BibTeX

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20: 18.16 Zeros

… ►In view of the reflection formula, given in Table 18.6.1, we may consider just the positive zeros $x_{n,m}$, $m=1,2,\mathrm{\dots },\lfloor \frac{1}{2}n\rfloor$. …