Status: Accepted
Owner: ----
CC: [email protected], [email protected]
Labels: Type-Defect Priority-Medium Integration Simplify
New issue 3153 by [email protected]: Expansion of 2F1 hyper((1/3, 1/3),
(4/3,), a*exp_polar(I*pi)/(b*x)) fails
http://code.google.com/p/sympy/issues/detail?id=3153
Integration of 1/(x*(a+b*x)**Rational(1,3)) gives an unexpanded
hypergeometric function:
In [8]: x = Symbol("x")
In [9]: a = Symbol("a")
In [10]: b = Symbol("b")
In [11]: integrate(1/(x*(a+b*x)**Rational(1,3)), x)
Out[11]: -gamma(1/3)*hyper((1/3, 1/3), (4/3,),
a*exp_polar(I*pi)/(b*x))/(b**(1/3)*x**
(1/3)*gamma(4/3))
We are not able to expand the 2F1 term
hyper((1/3, 1/3), (4/3,), a*exp_polar(I*pi)/(b*x))
properly.
The result is expressible in arctans and logs. but still fills a line.
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