I'm afraid I just don't know enough about this programming language
yet to design this function before the final version of 4.1.2 is
released. It seems to ignore any variation of a custom _integrate_.
Here is what I have achieved so far if someone is interested in
helping or further developing this function:
class Function_psi(PrimitiveFunction):
def __init__(self):
"""
Some description here.
"""
PrimitiveFunction.__init__(self, "psi", nargs=2,
latex=r'\psi',
conversions=dict(ginac='psi'))
__call__ = SFunction.__call__
polygamma = Function_psi()
def psi(a,b="default"):
if b=="default":
return polygamma(0,a)
else:
return polygamma(a,b)
The definition at the bottom is necessary since Sage simplifies psi
(0,x) to psi(x). Optional arguments are accepted only after the
required arguments, therefore, I created this to convert back.
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