Fourier%20cosine%20and%20sine%20transforms
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21—30 of 353 matching pages
21: William P. Reinhardt
22: 25.12 Polylogarithms
23: 1.14 Integral Transforms
§1.14(ii) Fourier Cosine and Sine Transforms
►The Fourier cosine transform and Fourier sine transform are defined respectively by … ►Inversion
… ►Parseval’s Formula
… ►§1.14(viii) Compendia
…24: 7.24 Approximations
Cody (1969) provides minimax rational approximations for and . The maximum relative precision is about 20S.
Cody et al. (1970) gives minimax rational approximations to Dawson’s integral (maximum relative precision 20S–22S).
Luke (1969b, vol. 2, pp. 422–435) gives main diagonal Padé approximations for , , , , and ; approximate errors are given for a selection of -values.
25: 20.10 Integrals
§20.10(i) Mellin Transforms with respect to the Lattice Parameter
►§20.10(ii) Laplace Transforms with respect to the Lattice Parameter
… ►26: Bibliography B
27: Staff
William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23
28: 1.8 Fourier Series
29: 10.75 Tables
Achenbach (1986) tabulates , , , , , 20D or 18–20S.
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. 322) tabulates , , , , , , , , , 7S.
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.