CVS log for OpenXM/src/asir-contrib/packages/src/taka_diffop.rr

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Revision 1.7 / (download) - annotate - [select for diffs], Tue Feb 1 00:36:22 2022 UTC (2 years, 4 months ago) by takayama
Branch: MAIN
CVS Tags: HEAD
Changes since 1.6: +82 -1 lines
Diff to previous 1.6 (colored)

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, 8 months ago) by takayama
Branch: MAIN
Changes since 1.5: +13 -3 lines
Diff to previous 1.5 (colored)

It works for operators with complex number coef.

Revision 1.5 / (download) - annotate - [select for diffs], Tue Aug 3 02:32:34 2004 UTC (19 years, 10 months 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 lines
Diff to previous 1.4 (colored)

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 (19 years, 10 months ago) by takayama
Branch: MAIN
Changes since 1.3: +191 -22 lines
Diff to previous 1.3 (colored)

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, 3 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 lines
Diff to previous 1.2 (colored)

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, 3 months ago) by takayama
Branch: MAIN
Changes since 1.1: +3 -3 lines
Diff to previous 1.1 (colored)

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, 3 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.

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