=================================================================== RCS file: /home/cvs/OpenXM/src/kan96xx/Kan/usage.sm1,v retrieving revision 1.12 retrieving revision 1.13 diff -u -p -r1.12 -r1.13 --- OpenXM/src/kan96xx/Kan/usage.sm1 2005/06/15 02:22:51 1.12 +++ OpenXM/src/kan96xx/Kan/usage.sm1 2013/08/30 01:00:15 1.13 @@ -1,4 +1,4 @@ -%% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.11 2004/09/17 00:47:09 takayama Exp $ +%% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.12 2005/06/15 02:22:51 takayama Exp $ %% usage.sm1 %% [(key word) %% [( ) @@ -171,6 +171,17 @@ ( Dx and Dy are corresponding differential operators to the ) ( space variables x and y. Try show_ring to see the commutation) ( relations.) + (Example: contiguity of 1F1. Eb b = (b-1) Eb) + ( [ [(x) (a,b)] ring_of_differential_difference_operators ) + ( [[(Dx) 1]] weight_vector 0] define_ring ) + ( [ ( x Dx (x Dx+b-1) -x (x Dx+a) ). ) + ( ( (x Dx +b-1) - (b-1) Eb ). ] /ff set ) + ( ff {dehomogenize homogenize} map /ff2 set ) + ( [ff2] groebner /gg set ) + ( gg dehomogenize 0 get /gg set ) + ( gg [(Dx)] eliminatev /gg2 set ) + ( gg2 pmat ) + ] ] putUsages