#3148 closed enhancement (fixed)
[with patch, positive review] improved orthogonal functions
Reported by: | fwclarke | Owned by: | was |
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Priority: | major | Milestone: | sage-3.0.2 |
Component: | calculus | Keywords: | orthogonal polynomials Maxima |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Work issues: | ||
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
The defects in the code for the hermite function in sage/functions/orthogonal_polys.py which were noted and corrected in #2336 apply equally to the other functions in that file.
The attached patch applies the same fix that worked for hermite to the following functions:
chebyshev_T, chebyshev_U, gen_laguerre, gen_legendre_P, gen_legendre_Q, jacobi_P, laguerre, legendre_P, legendre_Q, ultraspherical
This allows these polynomials to take much more general arguments; see the examples given for legendre_P.
The functions:
gen_legendre_P, gen_legendre_Q, legendre_Q
no longer yield a string representing a Maxima expression when the argument is a variable.
For m > n the function gen_legendre_Q(n, m, x) has to be computed independently of Maxima. This part of the code may need improving.
The introductory documentation has not been changed.
Attachments (1)
Change History (5)
Changed 13 years ago by
comment:1 Changed 13 years ago by
- Summary changed from improved orthogonal functions to [with patch, needs review] improved orthogonal functions
comment:2 Changed 13 years ago by
- Summary changed from [with patch, needs review] improved orthogonal functions to [with patch, positive review] improved orthogonal functions
comment:3 Changed 13 years ago by
- Resolution set to fixed
- Status changed from new to closed
Merged in Sage 3.0.2.rc0
comment:4 Changed 13 years ago by
- Milestone changed from sage-3.0.3 to sage-3.0.2
Looks good to me. All the tests pass, and the patch definitely simplifies the code.