From: David B. <bil...@us...> - 2008-12-26 02:44:47
|
Update of /cvsroot/maxima/maxima/doc/info In directory 23jxhf1.ch3.sourceforge.com:/tmp/cvs-serv5930 Modified Files: Deleted.texi Log Message: Document obsolete forms of Bessel functions. Index: Deleted.texi =================================================================== RCS file: /cvsroot/maxima/maxima/doc/info/Deleted.texi,v retrieving revision 1.1 retrieving revision 1.2 diff -u -d -r1.1 -r1.2 --- Deleted.texi 20 Dec 2008 09:51:38 -0000 1.1 +++ Deleted.texi 26 Dec 2008 02:44:40 -0000 1.2 @@ -8,13 +8,112 @@ @node Renamed or deleted functions, , Deleted Functions, Deleted Functions @section Renamed or deleted functions -@deffn {Function} bessel (@var{z}, @var{order}) -The Bessel function of the first kind. Use @code{bessel_j (@var{order}, @var{z})} instead. +@deffn {Function} airy (@var{x}) +The Airy function Ai(x) (A&S 10.4.2). +Use @code{airy_ai (@var{x})}. + +@xref{Airy Functions}. +@end deffn + + +@deffn {Function} bessel (@var{z}, @var{a}) +The Bessel function of the first kind of order @var{a}. +Use @code{bessel_j (@var{order}, @var{z})} instead. + +Also set up an array BESSELARRAY is set up such that BESSELARRAY[I] = +J[I+A-ENTIER(A)](Z). + @xref{Bessel Functions}. @end deffn + @deffn {Function} expint (@var{z}) The Exponential Integral E1(z)(A&S 5.1.2). Use @code{expintegral_e1 (@var{z})}. + @xref{Exponential Integrals}. @end deffn + +@deffn {Function} g0 (@var{x}) +The scaled modified Bessel function of the first kind of order 0. Use @code{scaled_bessel_i0 (@var{x})}. + +@xref{Bessel Functions}. +@end deffn + +@deffn {Function} g1 (@var{x}) +The scaled modified Bessel function of the first kind of order 1. Use @code{scaled_bessel_i1 (@var{x})}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} gn (@var{x}, @var{n}) +The scaled modified Bessel function of the first kind of order @var{n}. +Use @code{scaled_bessel_i (@var{n}, @var{x})}. + +In addition it set up an array GARRAY, analagous to JARRAY for @code{jn}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} gauss (@var{mean}, @var{sd}) +The random floating point number from a normal +distribution with mean MEAN and standard deviation SD. +Use @code{random_normal (@var{mean}, @var{sd})} + +@xref{distrib}. +@end deffn + + +@deffn {Function} i0 (@var{x}) +The modified Bessel function of the first kind of order 0. +Use @code{bessel_i (@var{0}, @var{x})}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} i1 (@var{x}) +The modified Bessel function of the first kind of order 1. +Use @code{bessel_i (@var{1}, @var{x})}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} in (@var{x}, @var{n}) +The modified Bessel function of the first kind of order @var{n}. +Use @code{bessel_i (@var{order}, @var{x})}. + +In addition it set up an array IARRAY, analagous to JARRAY for @code{jn}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} j0 (@var{x}) +The Bessel function of the first kind of order 0. Use @code{bessel_j (@var{0}, @var{x})}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} j1 (@var{x}) +The Bessel function of the first kind of order 1. Use @code{bessel_j (@var{1}, @var{x})}. + +@xref{Bessel Functions}. +@end deffn + + +@deffn {Function} jn (@var{x}, @var{n}) +The Bessel function of the first kind of order @var{n}. Use @code{bessel_j (@var{order}, @var{x})}. + +In addition it set up an +array JARRAY of N+1 elements, (numbered from 0 to ABS(N)) such that +JARRAY[I] gives the value of the I'th order Bessel function with +argument X. (If N < 0 then JARRAY[I] gives the (-I)'th Bessel +function). + +@xref{Bessel Functions}. +@end deffn |