picture%20of%20Stokes%20set
(0.004 seconds)
21—30 of 609 matching pages
21: 25.12 Polylogarithms
22: 9.18 Tables
Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.
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.
23: 27.2 Functions
24: 2.11 Remainder Terms; Stokes Phenomenon
§2.11 Remainder Terms; Stokes Phenomenon
… ►§2.11(iv) Stokes Phenomenon
… ►Where should the change-over take place? Can it be accomplished smoothly? … ►For higher-order Stokes phenomena see Olde Daalhuis (2004b) and Howls et al. (2004). … ►For example, using double precision is found to agree with (2.11.31) to 13D. …25: 6.20 Approximations
Cody and Thacher (1968) provides minimax rational approximations for , with accuracies up to 20S.
Cody and Thacher (1969) provides minimax rational approximations for , with accuracies up to 20S.
MacLeod (1996b) provides rational approximations for the sine and cosine integrals and for the auxiliary functions and , with accuracies up to 20S.
26: Foreword
27: 13.30 Tables
28: 28.16 Asymptotic Expansions for Large
29: 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.