Nicholson-type%20integral
(0.003 seconds)
21—30 of 471 matching pages
21: 22.3 Graphics
22: 10.75 Tables
Achenbach (1986) tabulates , , , , , 20D or 18–20S.
Zhang and Jin (1996, p. 270) tabulates , , , , , 8D.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
Kerimov and Skorokhodov (1984b) tabulates all zeros of the principal values of and , for , 9S.
Zhang and Jin (1996, p. 271) tabulates , , , , , 8D.
23: 6.16 Mathematical Applications
§6.16(i) The Gibbs Phenomenon
… ►Hence, if is fixed and , then , , or according as , , or ; compare (6.2.14). … ►The first maximum of for positive occurs at and equals ; compare Figure 6.3.2. … ►§6.16(ii) Number-Theoretic Significance of
►If we assume Riemann’s hypothesis that all nonreal zeros of have real part of (§25.10(i)), then …24: 25.20 Approximations
Cody et al. (1971) gives rational approximations for in the form of quotients of polynomials or quotients of Chebyshev series. The ranges covered are , , , . Precision is varied, with a maximum of 20S.
25: 23.14 Integrals
§23.14 Integrals
►26: 9.18 Tables
Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.
Sherry (1959) tabulates , , , , ; 20S.
Zhang and Jin (1996, p. 339) tabulates , , , , , , , , ; 8D.
§9.18(v) Integrals
…27: 7.23 Tables
Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
Abramowitz and Stegun (1964, Table 27.6) includes the Goodwin–Staton integral , , 4D; also , , 4D.
Zhang and Jin (1996, pp. 637, 639) includes , , , 8D; , , , 8D.
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
Zhang and Jin (1996, p. 642) includes the first 10 zeros of , 9D; the first 25 distinct zeros of and , 8S.