=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/Diff.texi,v retrieving revision 1.3 retrieving revision 1.5 diff -u -p -r1.3 -r1.5 --- OpenXM/src/asir-contrib/packages/doc/Attic/Diff.texi 2000/01/03 09:15:53 1.3 +++ OpenXM/src/asir-contrib/packages/doc/Attic/Diff.texi 2000/01/31 11:01:00 1.5 @@ -1,4 +1,4 @@ -@c $OpenXM$ +@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/Diff.texi,v 1.4 2000/01/21 12:54:39 okutani Exp $ @node Differential equations,,, その他の函数 @section Differential equations ファイル @file{gr}, @file{Matrix} が必要です. @@ -35,7 +35,7 @@ $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, @c * diff_act_selberg2:: @c * diff_act_gkz:: * diff_poly_solve:: -@c * diff_poly_solve_hg1:: +* diff_poly_solve_hg1:: @c * diff_poly_solve_appell1:: @c * diff_poly_solve_appell2:: @c * diff_poly_solve_appell3:: @@ -159,20 +159,44 @@ $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, [_33*y^2*x^2,[_33]] @end example +@node diff_poly_solve_hg1,,, Differential equations +@subsection @code{diff_poly_solve_hg1} +@findex diff_poly_solve_hg1 +@table @t +@item diff_poly_solve_hg1(@var{a},@var{b},@var{c},@var{V}) +:: ガウスの超幾何微分方程式の多項式解を求める. +@end table +@table @var +@item return +リスト +@item a, b, c +有理式 +@item V +リスト +@end table +@itemize @bullet +@item @code{diff_poly_solve_hg1}の例. +@end itemize +@example +[334] diff_poly_solve_hg1(-3,-6,-5,[x]); +[_1*x^6-2*_0*x^3+9/2*_0*x^2-18/5*_0*x+_0,[_0,_1]] + +[335] diff_poly_solve_hg1(-3,-6,-7,[x]); +[-4/7*_2*x^3+15/7*_2*x^2-18/7*_2*x+_2,[_2]] +@end example + @node diff_poly_solve_appell4,,, Differential equations @subsection @code{diff_poly_solve_appell4} @findex diff_poly_solve_appell4 @table @t -@item diff_poly_solve_appell4(@var{a},@var{b},@var{c1},@var{c2},@var{N},@var{V}) -:: F_4がみたす線型微分方程式系の @var{N} 次以下の多項式解を求める. +@item diff_poly_solve_appell4(@var{a},@var{b},@var{c1},@var{c2},@var{V}) +:: F_4がみたす線型微分方程式系の多項式解を求める. @end table @table @var @item return リスト @item a, b, c1, c2 有理式 -@item N -整数 @item V リスト @end table @@ -180,10 +204,10 @@ $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, @item @code{diff_poly_solve_appell4}の例. @end itemize @example -[299] diff_poly_solve_appell4(-3,1,-1,-1,5,[x,y]); +[299] diff_poly_solve_appell4(-3,1,-1,-1,[x,y]); [-_26*x^3+(3*_26*y+_26)*x^2+3*_24*y^2*x-_24*y^3+_24*y^2,[_24,_26]] -[300] diff_poly_solve_appell4(-3,1,1,-1,5,[x,y]); +[300] diff_poly_solve_appell4(-3,1,1,-1,[x,y]); [-3*_45*y^2*x-_45*y^3+_45*y^2,[_45]] @end example @@ -210,5 +234,10 @@ $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, @item @code{diff_rat_solve}の例. @end itemize @example -@end example +[333] diff_rat_solve([[[x,[1]],[1,[0]]]],x,1,[x]); +[(_8)/(x),[_8]] +[350] D = diff_op_appell4(0,0,3,0,[x,y])$ +[351] diff_rat_solve(D,x^2,2,[x,y]); +[(_118*x^2-_114*y*x+1/2*_114*y^2+_114*y)/(x^2),[_114,_118]] +@end example