Maxima 5.27.0 http://maxima.sourceforge.net
using Lisp SBCL 1.0.24
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) residue(( x/((4*x - 1)*(t^2 - t + x)) ),t,(1-sqrt(1-4*x))/2);
But apparently this should give a result in x?
sage: from sympy import Symbol, residue
sage: x = Symbol("x")
sage: t = Symbol("t")
sage: residue(x/((4*x - 1)*(t^2 - t + x)),t,(1-sqrt(1-4*x))/2)
-x/((-4*x + 1)**(1/2)*(4*x - 1))
This was first reported at http://ask.sagemath.org/question/1588/calculating-residue-with-maxima_methods
I make no claim for the mathematical correctness - just reporting quickly - but since the function has t in the denominator, that it would be nonzero seems reasonable.
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