Comment #12 on issue 564 by [email protected]: series expansion of
acosh and acoth
http://code.google.com/p/sympy/issues/detail?id=564
Just a quick question regarding implementation of csch(x). I see that
coth(x) takes S.Zero and returns S.Zero:
def eval(cls, arg):
arg = sympify(arg)
if arg.is_Number:
if arg is S.NaN:
return S.NaN
elif arg is S.Infinity:
return S.One
elif arg is S.NegativeInfinity:
return S.NegativeOne
elif arg is S.Zero:
return S.Zero
elif arg.is_negative:
return -cls(-arg)
but coth(x), like csch(x) diverges to positive infinity from the right and
negative infinity from the left. Can anyone tell me why it's defined to
return zero at zero?
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