Status: New
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 4083 by [email protected]: mellin_transform(besselj(3,
x)/x**3, x, s) wring result
http://code.google.com/p/sympy/issues/detail?id=4083
mellin_transform(besselj(3, x)/x**3, x, s)
Wrong value returned:
-2**(s - 4)*gamma(s/2 - 3)/gamma(-s/2 + 1)
Correct result is:
-2**(s - 4)*gamma(s/2)/gamma(-s/2 + 4)
In [1]: from sympy import *
In [2]: x, s = symbols('x s')
...: F, _, _ = mellin_transform(besselj(3, x)/x**3, x, s)
...: assert F == -2**(s - 4)*gamma(s/2)/gamma(-s/2 + 4)
...:
---------------------------------------------------------------------------
AssertionError Traceback (most recent call last)
<ipython-input-2-13c7c0886cab> in <module>()
1 x, s = symbols('x s')
2 F, _, _ = mellin_transform(besselj(3, x)/x**3, x, s)
----> 3 assert F == -2**(s - 4)*gamma(s/2)/gamma(-s/2 + 4)
4
AssertionError:
In [3]: F
Out[3]: -2**(s - 4)*gamma(s/2 - 3)/gamma(-s/2 + 1)
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