Numerical calculation of the generalized sine and cosine integral.

DOI10.1216/rmjm/1030539698zbMath1037.65031OpenAlexW2007151172MaRDI QIDQ1415050

K.-D. Reinsch, U. Puschmann, Roland Bulirsch

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

Chebyshev seriesgeneralized sine and cosine integral

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Chebyshew expansions for Fresnel integrals
• Numerical calculation of the sine, cosine and Fresnel integrals
• Anschauliches zur Gibbschen Erscheinung und zur Annäherung durch arithmetische Mittel
• Über den allgemeinen Integralsinus \(Si(z,\alpha)\)