## maxima-commits

 [Maxima-commits] CVS: maxima/tests rtest_hypgeo.mac,1.18,1.19 From: Dieter Kaiser - 2009-10-29 20:49:56 ```Update of /cvsroot/maxima/maxima/tests In directory 23jxhf1.ch3.sourceforge.com:/tmp/cvs-serv28121/tests Modified Files: rtest_hypgeo.mac Log Message: Updating because of cutting out the Laplace transform of the symbol %he. Index: rtest_hypgeo.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtest_hypgeo.mac,v retrieving revision 1.18 retrieving revision 1.19 diff -u -d -r1.18 -r1.19 --- rtest_hypgeo.mac 12 Oct 2009 23:13:38 -0000 1.18 +++ rtest_hypgeo.mac 29 Oct 2009 20:49:47 -0000 1.19 @@ -473,20 +473,15 @@ factor(specint(%e^(-s*t)*h2(10,t),t)); ((s-1)^10/(s^(10+3/2))); -/***************************************************************************** - The code knows the Hermite function %he[n](x). - There should be the relationship: hermite(n,t) -> %he[n](t). - - But it doesn't work. - We have improved the hermite function. It works as expected. -*/ - -/* AS 29.3.46 */ +/* Laplace transform of hermite for even and odd order: + * + * Problem 64: AS 29.3.46 + */ laplace(1/sqrt(t)*'hermite(2*n,sqrt(t)),t,s); %pi*2^(2*n)*(1-1/s)^n/(gamma((2*n-1)/-2)*sqrt(s)); -/* AS 29.3.47 */ +/* Problem 65: AS 29.3.47 */ laplace('hermite(2*n+1,sqrt(t)),t,s); -%pi*2^(2*n+2)*(1-1/s)^n/(2*gamma((2*n+1)/-2)*s^(3/2)); ```