=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/sm1/sm1.oxw,v retrieving revision 1.1 retrieving revision 1.2 diff -u -p -r1.1 -r1.2 --- OpenXM/src/asir-contrib/packages/doc/sm1/sm1.oxw 2005/04/13 23:50:17 1.1 +++ OpenXM/src/asir-contrib/packages/doc/sm1/sm1.oxw 2008/06/04 01:46:52 1.2 @@ -1,4 +1,4 @@ -/*$OpenXM$ */ +/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1/sm1.oxw,v 1.1 2005/04/13 23:50:17 takayama Exp $ */ /*&C @c DO NOT EDIT THIS FILE @@ -102,6 +102,7 @@ Grobner Deformations of Hypergeometric Differential Eq * sm1.mul:: * sm1.distraction:: * sm1.gkz:: +* sm1.mgkz:: * sm1.appell1:: * sm1.appell4:: * sm1.rank:: @@ -1653,6 +1654,70 @@ List -dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3], [x1,x2,x3,x4]] +@end example + +*/ + +/*&en +@node sm1.mgkz,,, SM1 Functions +@subsection @code{sm1.mgkz} +@findex sm1.mgkz +@table @t +@item sm1.mgkz([@var{A},@var{W},@var{B}]|proc=@var{p}) +:: Returns the modified GKZ system (A-hypergeometric system) associated to the matrix +@var{A} and the weight @var{w} with the parameter vector @var{B}. +@end table + +@table @var +@item return +List +@item p +Number +@item A, W, B +List +@end table + +@itemize @bullet +@item Returns the modified GKZ hypergeometric system +(A-hypergeometric system) associated to the matrix +@item http://arxiv.org/abs/0707.0043 +@end itemize +*/ + +/*&ja +@node sm1.mgkz,,, SM1 Functions +@subsection @code{sm1.mgkz} +@findex sm1.mgkz +@table @t +@item sm1.mgkz([@var{A},@var{W},@var{B}]|proc=@var{p}) +:: 行列 @var{A}, weight @var{W} とパラメータ @var{B} に付随した modified GKZ 系 (A-hypergeometric system) をもどす. +@end table + +@table @var +@item return +リスト +@item p +数 +@item A, W, B +リスト +@end table + +@itemize @bullet +@item 行列 @var{A}, weight vector @var{W} とパラメータ @var{B} に付随した modified GKZ 系 (A-hypergeometric system) をもどす. +@item http://arxiv.org/abs/0707.0043 +@end itemize +*/ + +/*&C + +@example + +[280] sm1.mgkz([ [[1,2,3]], [1,2,1], [a/2]]); +[[6*x3*dx3+4*x2*dx2+2*x1*dx1-a,-x4*dx4+x3*dx3+2*x2*dx2+x1*dx1, + -dx2+dx1^2,-x4^2*dx3+dx1*dx2],[x1,x2,x3,x4]] + +Modified A-hypergeometric system for +A=(1,2,3), w=(1,2,1), beta=(a/2). @end example */