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implement integrals resulting in 2F1 and AppellF1 expressions #22650

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rwst opened this issue Mar 20, 2017 · 3 comments
Open

implement integrals resulting in 2F1 and AppellF1 expressions #22650

rwst opened this issue Mar 20, 2017 · 3 comments

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@rwst
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rwst commented Mar 20, 2017

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 1.3.1.7
  • (cx)m(a+bxn)p, p not in ZZ --> Rules 1.3.2.12
  • (a+bxn)p(c+dxn)q, n(p+q+1)+1==0 --> Rule 1.3.3.5.4
  • (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

Depends on #22651
Depends on #22763

Component: calculus

Issue created by migration from https://trac.sagemath.org/ticket/22650

@rwst rwst added this to the sage-8.0 milestone Mar 20, 2017
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rwst commented Mar 20, 2017

Dependencies: #22651

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rwst commented Apr 5, 2017

Changed dependencies from #22651 to #22651, #22763

@mkoeppe mkoeppe removed this from the sage-8.0 milestone Dec 29, 2022
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