Mercurial > octave
view scripts/specfun/betai.m @ 3426:f8dde1807dee
[project @ 2000-01-13 08:40:00 by jwe]
author | jwe |
---|---|
date | Thu, 13 Jan 2000 08:40:53 +0000 |
parents | 6923abb04e16 |
children | fa0d84558faa |
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## Copyright (C) 1998 John W. Eaton ## ## This file is part of Octave. ## ## Octave is free software; you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 2, or (at your option) ## any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ## General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, write to the Free ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA ## 02111-1307, USA. ## -*- texinfo -*- ## @deftypefn {Mapping Function} {} betai (@var{a}, @var{b}, @var{x}) ## Return the incomplete Beta function, ## @iftex ## @tex ## $$ ## \beta (a, b, x) = B (a, b)^{-1} \int_0^x t^{(a-z)} (1-t)^{(b-1)} dt. ## $$ ## @end tex ## @end iftex ## @ifinfo ## ## @smallexample ## x ## / ## betai (a, b, x) = beta (a, b)^(-1) | t^(a-1) (1-t)^(b-1) dt. ## / ## t=0 ## @end smallexample ## @end ifinfo ## ## If x has more than one component, both @var{a} and @var{b} must be ## scalars. If @var{x} is a scalar, @var{a} and @var{b} must be of ## compatible dimensions. ## @end deftypefn ## Author: jwe ## Created: 30 Jan 1998 function retval = betai (a, b, x) if (nargin == 3) retval = betainc (x, a, b); else usage ("betai (a, b, x)"); endif endfunction