Numerical Calculations of the Generalized Sine and Cosine Integral
K.-D. Reinsch, R. Bulirsch, and U. Puschmann
Source: Rocky Mountain J. Math. Volume 32, Number 2
(2002), 813-826.
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Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181070099
Digital Object Identifier: doi:10.1216/rmjm/1030539698
Mathematical Reviews number (MathSciNet): MR1934917
References
M. Abramowitz and I.A. Stegun, Handbook of mathematical functions, Dover Publ., Inc., New York, 1970.
R. Bulirsch, Numerical calculation of the sine, cosine and Fresnel integrals, Numer. Math. 9 (1967), 380-385.
Mathematical Reviews (MathSciNet): MR1553953
Digital Object Identifier: doi:10.1007/BF02162153
W. Gautschi, Algorithm 236, Comm. ACM 7 (1964),
The mathematical functions of Mathematica, Wolfram Research, Inc.
E. Kreyszig, Über den allgemeinen Integralsinus $Si(x,\a)$, Acta Math. 85 (1951), 118-181.
Mathematical Reviews (MathSciNet): MR41287
Digital Object Identifier: doi:10.1007/BF02395744
G. Németh, Chebyshev expansions for Fresnel integrals, Numer. Math. 7 (1965), 310-312.
Mathematical Reviews (MathSciNet): MR185805
Digital Object Identifier: doi:10.1007/BF01436524
A. Walther, Anschauliches zur Gibbsschen Erscheinung und zur Annäherung durch arithmetische Mittel, Math. Z. 42 (1937), 355-364.
Mathematical Reviews (MathSciNet): MR1545681
Digital Object Identifier: doi:10.1007/BF01160084
Rocky Mountain Journal of Mathematics
