version 1.1.1.1, 1999/11/27 11:25:18 |
version 1.2, 1999/11/29 05:01:42 |
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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 $OpenXM$ |
@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 $$ [ [ [f_{\alpha^{(1)}},[\alpha_{1}^{(1)},\ldots,\alp |
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Line 16 $$ [ [ [f_{\alpha^{(1)}},[\alpha_{1}^{(1)},\ldots,\alp |
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$$ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ] $$ |
$$ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ] $$ |
$B$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, |
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Line 39 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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@c * diff_poly_solve_appell1:: |
@c * diff_poly_solve_appell1:: |
@c * diff_poly_solve_appell2:: |
@c * diff_poly_solve_appell2:: |
@c * diff_poly_solve_appell3:: |
@c * diff_poly_solve_appell3:: |
@c * diff_poly_solve_appell4:: |
* diff_poly_solve_appell4:: |
@c * diff_poly_solve_selberg2:: |
@c * diff_poly_solve_selberg2:: |
@c * diff_poly_solve_gkz:: |
@c * diff_poly_solve_gkz:: |
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@c * diff_rat_solve:: |
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@c * diff_pseries_appell4:: |
@end menu |
@end menu |
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@node diff_op_appell4,,, Differential equations |
@node diff_op_appell4,,, Differential equations |
Line 155 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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Line 157 $$ [ [ [x,[1,0]],[y,[0,1]],[1,[0,0]] ],[ [1,[2,0]],[1, |
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[298] diff_poly_solve([[[x,[1,0]],[-2,[0,0]]],[[y,[0,1]],[-2,[0,0]]]],5,[x,y]); |
[298] diff_poly_solve([[[x,[1,0]],[-2,[0,0]]],[[y,[0,1]],[-2,[0,0]]]],5,[x,y]); |
[_33*y^2*x^2,[_33]] |
[_33*y^2*x^2,[_33]] |
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@end example |
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@node diff_poly_solve_appell4,,, Differential equations |
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@subsection @code{diff_poly_solve_appell4} |
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@findex diff_poly_solve_appell4 |
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@table @t |
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@item diff_poly_solve_appell4(@var{a},@var{b},@var{c1},@var{c2},@var{N},@var{V}) |
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:: F_4$B$,$_$?$9@~7?HyJ,J}Dx<07O$N(B @var{N} $B<!0J2<$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, c1, c2 |
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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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$B%j%9%H(B |
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@end table |
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@itemize @bullet |
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@item @code{diff_poly_solve_appell4}$B$NNc(B. |
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@end itemize |
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@example |
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[299] diff_poly_solve_appell4(-3,1,-1,-1,5,[x,y]); |
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[-_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]); |
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[-3*_45*y^2*x-_45*y^3+_45*y^2,[_45]] |
@end example |
@end example |
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