Opened 5 years ago

Last modified 5 years ago

#22650 new enhancement

implement integrals resulting in 2F1 and AppellF1 expressions — at Version 2

Reported by: rws Owned by:
Priority: major Milestone: sage-8.0
Component: calculus Keywords:
Cc: Merged in:
Authors: Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: #22651 Stopgaps:

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Description (last modified by rws)

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+cx2)p, 4p not in ZZ --> Rule 1.2.1.H
  • (a+bxn)p, p not in ZZ, a>0 --> Rule
  • (cx)m(a+bxn)p, p not in ZZ --> Rules
  • (a+bxn)p(c+dxn)q, n(p+q+1)+1==0 --> Rule
  • (ex)m(a+bxn)p(c+dxn)q, a,c>0, m!=1, m+n!=1 --> Rule 1.3.4.A.1
  • (axj+bxn)p, p not in ZZ, j!=n --> Rules 1.3.8.x
  • xm(axj+bxn)p, j!=n --> Rules 1.3.9.x

This could be useful even without a full #22410

Change History (2)

comment:1 Changed 5 years ago by rws

  • Dependencies set to #22651

comment:2 Changed 5 years ago by rws

  • Description modified (diff)
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