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Diff for /OpenXM/src/asir-contrib/packages/doc/Attic/Diff.texi between version 1.1 and 1.4

version 1.1, 1999/11/27 11:25:18 version 1.4, 2000/01/21 12:54:39
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 @c $OpenXM: OpenXM/src/asir99/lib/contrib/packages/doc/Diff.texi,v 1.4 1999/11/24 10:24:36 okutani Exp $  @c $OpenXM: OpenXM/src/asir-contrib/packages/doc/Diff.texi,v 1.3 2000/01/03 09:15:53 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 16  $$ [ [ [f_{\alpha^{(1)}},[\alpha_{1}^{(1)},\ldots,\alp
Line 16  $$ [ [ [f_{\alpha^{(1)}},[\alpha_{1}^{(1)},\ldots,\alp
 $$ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ] $$  $$ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ] $$
 $B$H$J$j$^$9(B. $B$^$?HyJ,:nMQAG$N%j%9%H$G(B$x dx + y dy + 1, dx^2 + dy^2$$B$rI=$9$H(B  $B$H$J$j$^$9(B. $B$^$?HyJ,:nMQAG$N%j%9%H$G(B$x dx + y dy + 1, dx^2 + dy^2$$B$rI=$9$H(B
 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,[0,2]] ] ] $$  $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,[0,2]] ] ] $$
 $B$H$J$j$^$9(B.  $B$H$J$j$^$9(B. $B$^$?$3$l$i$NI=8=K!$r;H$&$H$-$OJQ?t%j%9%H$r>o$K0U<1$7$F$$$kI,MW$,$"$j$^$9!#(B
 @end tex  @end tex
 @menu  @menu
 @c * diff_op_hg1::  @c * diff_op_hg1::
Line 39  $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,
Line 39  $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,
 @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::
 @c * 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::
   * diff_rat_solve::
   @c * diff_pseries_appell4::
 @end menu  @end menu
   
 @node diff_op_appell4,,, Differential equations  @node diff_op_appell4,,, Differential equations
Line 157  $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,
Line 159  $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1,
 [_33*y^2*x^2,[_33]]  [_33*y^2*x^2,[_33]]
 @end example  @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$B$,$_$?$9@~7?HyJ,J}Dx<07O$N(B @var{N} $B<!0J2<$NB?9`<02r$r5a$a$k(B.
   @end table
   @table @var
   @item return
   $B%j%9%H(B
   @item a, b, c1, c2
   $BM-M}<0(B
   @item N
   $B@0?t(B
   @item V
   $B%j%9%H(B
   @end table
   @itemize @bullet
   @item  @code{diff_poly_solve_appell4}$B$NNc(B.
   @end itemize
   @example
   [299] diff_poly_solve_appell4(-3,1,-1,-1,5,[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]);
   [-3*_45*y^2*x-_45*y^3+_45*y^2,[_45]]
   @end example
   
   @node diff_rat_solve,,, Differential equations
   @subsection @code{diff_rat_solve}
   @findex diff_rat_solve
   @table @t
   @item diff_rat_solve(@var{LL},@var{Dn},@var{N},@var{V})
   ::  $BM?$($i$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.
   @end table
   @table @var
   @item return
   $B%j%9%H(B
   @item LL
   $B%j%9%H(B
   @item Dn
   $BM-M}<0(B
   @item N
   $B@0?t(B
   @item V
   $B%j%9%H(B
   @end table
   @itemize @bullet
   @item  @code{diff_rat_solve}$B$NNc(B.
   @end itemize
   @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
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