Opened 3 years ago
Last modified 3 years ago
#22650 new enhancement
implement integrals resulting in 2F1 and AppellF1 expressions
Reported by: | rws | Owned by: | |
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Priority: | major | Milestone: | sage-8.0 |
Component: | calculus | Keywords: | |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | #22651, #22763 | Stopgaps: |
Description (last modified by )
These are the rules in the Rubi integrator's chapters 1.1, 1.2, and 1.3 that result in hypergeometric or AppellF1 expressions. They could be implemented to increase coverage of the available integration libraries:
- (c+dx)^{n}/(a+bx), n not in ZZ --> Rule 1.1.2.H.4
- (bx)^{m}(c+dx)^{n}, --> Rules 1.1.2.H.1.*
- (a+bx)^{m}(c+dx)^{n} --> Rules 1.1.2.H.2.*
- (a+bx)^{m}(c+dx)^{n}(e+fx)^{p}, m+n+p+2==0 --> Rules 1.1.3.H
- (bx)^{m}(c+dx)^{n}(e+fx)^{p}, m,n not in ZZ --> Rules 1.1.3.A.1.*
- (a+bx)^{m}(c+dx)^{n}(e+fx)^{p}, m,n not in ZZ --> Rules 1.1.3.A.2/3.*
- (a+bx+cx^{2})^{p}, 4p not in ZZ --> Rule 1.2.1.H
- (a+bx^{n})^{p}, p not in ZZ, a>0 --> Rule 1.3.1.7
- (cx)^{m}(a+bx^{n})^{p}, p not in ZZ --> Rules 1.3.2.12
- (a+bx^{n})^{p}(c+dx^{n})^{q}, n(p+q+1)+1==0 --> Rule 1.3.3.5.4
- (ex)^{m}(a+bx^{n})^{p}(c+dx^{n})^{q}, a,c>0, m!=1, m+n!=1 --> Rule 1.3.4.A.1
- (ax^{j}+bx^{n})^{p}, p not in ZZ, j!=n --> Rules 1.3.8.x
- x^{m}(ax^{j}+bx^{n})^{p}, j!=n --> Rules 1.3.9.x
This could be useful even without a full #22410
Change History (3)
comment:1 Changed 3 years ago by
- Dependencies set to #22651
comment:2 Changed 3 years ago by
- Description modified (diff)
comment:3 Changed 3 years ago by
- Dependencies changed from #22651 to #22651, #22763
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