| GNU Scientific Library Reference Manual - Revised Second Edition (v1.8) by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, M. Booth, F. Rossi Paperback (6"x9"), 636 pages, 60 figures ISBN 0954161734 RRP £24.99 ($39.99) |
7.4 Airy Functions and Derivatives
The Airy functions Ai(x) and Bi(x) are defined by the
integral representations,
Ai(x) = (1/\pi) \int_0^\infty \cos((1/3) t^3 + xt) dt
Bi(x) = (1/\pi) \int_0^\infty (e^(-(1/3) t^3) + \sin((1/3) t^3 + xt)) dt
For further information see Abramowitz & Stegun, Section 10.4. The Airy functions are defined in the header file ‘gsl_sf_airy.h’.
| ISBN 0954161734 | GNU Scientific Library Reference Manual - Revised Second Edition (v1.8) | See the print edition |