- publishing free software manuals
GNU Scientific Library Reference Manual - Third Edition (v1.12)
by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi
Paperback (6"x9"), 592 pages, 60 figures
ISBN 0954612078
RRP £24.95 ($39.95)

Get a printed copy>>>

7.19.6 Incomplete Beta Function

Function: double gsl_sf_beta_inc (double a, double b, double x)
Function: int gsl_sf_beta_inc_e (double a, double b, double x, gsl_sf_result * result)
These routines compute the normalized incomplete Beta function I_x(a,b)=B_x(a,b)/B(a,b) where B_x(a,b) = \int_0^x t^{a-1} (1-t)^{b-1} dt for 0 <= x <= 1. For a > 0, b > 0 the value is computed using a continued fraction expansion. For all other values it is computed using the relation I_x(a,b,x) = (1/a) x^a 2F1(a,1-b,a+1,x)/B(a,b).
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition