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Revision 1.7 / (download) - annotate - [select for diffs], Tue Feb 1 00:36:22 2022 UTC (2 years, 7 months ago) by takayama
Branch: MAIN
CVS Tags: HEAD
Changes since 1.6: +82 -1
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Diff to previous 1.6 (unified)
Utility functions for diff ops. poly_dact, poly_dmul, poly_diff2euler, poly_euler2diff.
Revision 1.6 / (download) - annotate - [select for diffs], Wed Oct 9 07:02:46 2019 UTC (4 years, 11 months ago) by takayama
Branch: MAIN
Changes since 1.5: +13 -3
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Diff to previous 1.5 (unified)
It works for operators with complex number coef.
Revision 1.5 / (download) - annotate - [select for diffs], Tue Aug 3 02:32:34 2004 UTC (20 years, 1 month ago) by takayama
Branch: MAIN
CVS Tags: R_1_3_1-2,
RELEASE_1_3_1_13b,
RELEASE_1_2_3_12,
RELEASE_1_2_3,
KNOPPIX_2006,
DEB_REL_1_2_3-9
Changes since 1.4: +114 -9
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Diff to previous 1.4 (unified)
usage begin: taka_dr1.pfq_infty(A,B,N) It computes the set of the canonical series solutions up to degree {N} at z = infty for the generalized hypergeometric function p F q ({A},{B};z). The variable 1/z is put x. example: taka_dr1.pfq_infty([1/2,1/2,-3/2],[2,3],5);
Revision 1.4 / (download) - annotate - [select for diffs], Mon Aug 2 05:35:07 2004 UTC (20 years, 1 month ago) by takayama
Branch: MAIN
Changes since 1.3: +191 -22
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Diff to previous 1.3 (unified)
An implementation of SST's algorithm to get series solutions for an ODE. Example: [2106] load("taka_diffop.rr"); 1 [2146] taka_dr1.test1(); Indicial = [s^2,(s^2+s+1/4)*x] [a_1*y+a_0+2*a_1,1/4] I=1, 1/4*x [4*a_1*y+4*a_0+4*a_1,9/16] I=2, 9/64*x^2 [9*a_1*y+9*a_0+6*a_1,225/256] I=3, 25/256*x^3 ------------------------------ [a_1*y+a_0+2*a_1,1/4*y+1] I=1, (1/4*log(x)+1/2)*x [4*a_1*y+4*a_0+4*a_1,9/16*y+15/8] I=2, (9/64*log(x)+21/64)*x^2 [9*a_1*y+9*a_0+6*a_1,225/256*y+705/256] I=3, (25/256*log(x)+185/768)*x^3 ------------------------------ [25/256*x^3+9/64*x^2+1/4*x+1, (25/256*log(x)+185/768)*x^3+(9/64*log(x)+21/64)*x^2+(1/4*log(x)+1/2)*x+log(x)]
Revision 1.3 / (download) - annotate - [select for diffs], Mon Feb 24 05:36:59 2003 UTC (21 years, 6 months ago) by takayama
Branch: MAIN
CVS Tags: RELEASE_1_2_2_KNOPPIX_b,
RELEASE_1_2_2_KNOPPIX,
RELEASE_1_2_2
Changes since 1.2: +25 -13
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Diff to previous 1.2 (unified)
Added a new function dr1_act(L,F), which computes the action of the operator L to the function F.
Revision 1.2 / (download) - annotate - [select for diffs], Sun Feb 23 07:41:31 2003 UTC (21 years, 6 months ago) by takayama
Branch: MAIN
Changes since 1.1: +3 -3
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Diff to previous 1.1 (unified)
Fixed a bug of taka_dr_mult(F,G).
Revision 1.1 / (download) - annotate - [select for diffs], Sun Feb 23 03:18:06 2003 UTC (21 years, 6 months ago) by takayama
Branch: MAIN
Functions for divisions in the ring R_1 (ring of differential operators in one variable) and some utility functions for euler operators are defined. These are written by the Asir user language.