--- /dev/null
+function p = tpdf(x,n)
+% TPDF returns student probability density
+%
+% pdf = tpdf(x,DF);
+%
+% Computes the PDF of a the student distribution
+% with DF degreas of freedom
+% x,DF must be matrices of same size, or any one can be a scalar.
+%
+% see also: TINV, TCDF, NORMPDF, NORMCDF, NORMINV
+
+% Reference(s):
+
+% $Id: tpdf.m 9033 2011-11-08 20:58:07Z schloegl $
+% Copyright (C) 2000-2003,2008,2009,2010 by Alois Schloegl <alois.schloegl@gmail.com>
+% This function is part of the NaN-toolbox
+% http://pub.ist.ac.at/~schloegl/matlab/NaN/
+
+% This program 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 of the License, or
+% (at your option) any later version.
+%
+% This program 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 this program; If not, see <http://www.gnu.org/licenses/>.
+
+% allocate memory and check size of arguments
+p = x+n; % if this line causes an error, size of input arguments do not fit.
+ix = (n>0) & (n~=inf) & ~isnan(x);
+
+% make size of x and n equal
+n = x+n-x;
+x = x+n-n;
+
+% workaround for invalid arguments in BETA
+if any(ix)
+p(ix) = (exp (-(n(ix)+1).*log(1+x(ix).^2./n(ix))/2) ./ (sqrt(n(ix)).* beta(n(ix)/2, 1/2)));
+end;
+p(~ix)= NaN;
+
+% shape output
+p = reshape(p,size(x));
+
+%!assert(tpdf(NaN,4),NaN)