version 1.2, 1999/11/29 05:01:42 |
version 1.5, 2000/01/31 11:01:00 |
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@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,,, $B$=$NB>$NH!?t(B |
@node Differential equations,,, $B$=$NB>$NH!?t(B |
@section Differential equations |
@section Differential equations |
$B%U%!%$%k(B @file{gr}, @file{Matrix} $B$,I,MW$G$9(B. |
$B%U%!%$%k(B @file{gr}, @file{Matrix} $B$,I,MW$G$9(B. |
Line 35 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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Line 35 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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@c * diff_act_selberg2:: |
@c * diff_act_selberg2:: |
@c * diff_act_gkz:: |
@c * diff_act_gkz:: |
* diff_poly_solve:: |
* diff_poly_solve:: |
@c * diff_poly_solve_hg1:: |
* diff_poly_solve_hg1:: |
@c * diff_poly_solve_appell1:: |
@c * diff_poly_solve_appell1:: |
@c * diff_poly_solve_appell2:: |
@c * diff_poly_solve_appell2:: |
@c * diff_poly_solve_appell3:: |
@c * diff_poly_solve_appell3:: |
* diff_poly_solve_appell4:: |
* diff_poly_solve_appell4:: |
@c * diff_poly_solve_selberg2:: |
@c * diff_poly_solve_selberg2:: |
@c * diff_poly_solve_gkz:: |
@c * diff_poly_solve_gkz:: |
@c * diff_rat_solve:: |
* diff_rat_solve:: |
@c * diff_pseries_appell4:: |
@c * diff_pseries_appell4:: |
@end menu |
@end menu |
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Line 159 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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Line 159 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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[_33*y^2*x^2,[_33]] |
[_33*y^2*x^2,[_33]] |
@end example |
@end example |
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@node diff_poly_solve_hg1,,, Differential equations |
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@subsection @code{diff_poly_solve_hg1} |
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@findex diff_poly_solve_hg1 |
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@table @t |
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@item diff_poly_solve_hg1(@var{a},@var{b},@var{c},@var{V}) |
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:: $B%,%&%9$ND64v2?HyJ,J}Dx<0$NB?9`<02r$r5a$a$k(B. |
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@end table |
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@table @var |
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@item return |
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$B%j%9%H(B |
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@item a, b, c |
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$BM-M}<0(B |
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@item V |
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$B%j%9%H(B |
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@end table |
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@itemize @bullet |
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@item @code{diff_poly_solve_hg1}$B$NNc(B. |
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@end itemize |
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@example |
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[334] diff_poly_solve_hg1(-3,-6,-5,[x]); |
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[_1*x^6-2*_0*x^3+9/2*_0*x^2-18/5*_0*x+_0,[_0,_1]] |
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[335] diff_poly_solve_hg1(-3,-6,-7,[x]); |
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[-4/7*_2*x^3+15/7*_2*x^2-18/7*_2*x+_2,[_2]] |
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@end example |
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@node diff_poly_solve_appell4,,, Differential equations |
@node diff_poly_solve_appell4,,, Differential equations |
@subsection @code{diff_poly_solve_appell4} |
@subsection @code{diff_poly_solve_appell4} |
@findex diff_poly_solve_appell4 |
@findex diff_poly_solve_appell4 |
@table @t |
@table @t |
@item diff_poly_solve_appell4(@var{a},@var{b},@var{c1},@var{c2},@var{N},@var{V}) |
@item diff_poly_solve_appell4(@var{a},@var{b},@var{c1},@var{c2},@var{V}) |
:: F_4$B$,$_$?$9@~7?HyJ,J}Dx<07O$N(B @var{N} $B<!0J2<$NB?9`<02r$r5a$a$k(B. |
:: F_4$B$,$_$?$9@~7?HyJ,J}Dx<07O$NB?9`<02r$r5a$a$k(B. |
@end table |
@end table |
@table @var |
@table @var |
@item return |
@item return |
$B%j%9%H(B |
$B%j%9%H(B |
@item a, b, c1, c2 |
@item a, b, c1, c2 |
$BM-M}<0(B |
$BM-M}<0(B |
@item N |
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$B@0?t(B |
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@item V |
@item V |
$B%j%9%H(B |
$B%j%9%H(B |
@end table |
@end table |
Line 180 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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Line 204 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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@item @code{diff_poly_solve_appell4}$B$NNc(B. |
@item @code{diff_poly_solve_appell4}$B$NNc(B. |
@end itemize |
@end itemize |
@example |
@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]] |
[-_26*x^3+(3*_26*y+_26)*x^2+3*_24*y^2*x-_24*y^3+_24*y^2,[_24,_26]] |
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[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]] |
[-3*_45*y^2*x-_45*y^3+_45*y^2,[_45]] |
@end example |
@end example |
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@node diff_rat_solve,,, Differential equations |
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@subsection @code{diff_rat_solve} |
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@findex diff_rat_solve |
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@table @t |
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@item diff_rat_solve(@var{LL},@var{Dn},@var{N},@var{V}) |
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:: $BM?$($i$l$?@~7?HyJ,J}Dx<07O$NJ,Jl$,(B @var{Dn}, $BJ,;R$,(B @var{N} $B<!0J2<$NB?9`<0$G$"$k$h$&$J2r$r5a$a$k(B. |
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@end table |
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@table @var |
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@item return |
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$B%j%9%H(B |
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@item LL |
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$B%j%9%H(B |
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@item Dn |
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$BM-M}<0(B |
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@item N |
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$B@0?t(B |
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@item V |
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$B%j%9%H(B |
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@end table |
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@itemize @bullet |
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@item @code{diff_rat_solve}$B$NNc(B. |
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@end itemize |
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@example |
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[333] diff_rat_solve([[[x,[1]],[1,[0]]]],x,1,[x]); |
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[(_8)/(x),[_8]] |
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[350] D = diff_op_appell4(0,0,3,0,[x,y])$ |
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[351] diff_rat_solve(D,x^2,2,[x,y]); |
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[(_118*x^2-_114*y*x+1/2*_114*y^2+_114*y)/(x^2),[_114,_118]] |
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@end example |