RESIDUE :: The residue is the coefficient of ( z - z_0 )^(-1) in the Laurent series for expr.

maxima_residue

Function: residue( expr, z, z_0 )

• The residue is the coefficient of ( z - z_0 )^(-1) in the Laurent series for expr.

Example:

(%i) residue(s/(s^2-A^2),s,A);
(%o) 1/2

(%i) residue( s/( s^2 + A^2 ), s, A*%i );
(%o) 1/2

(%i) residue( sin(A*x)/x**4,x,0 );
(%o) -A^3/6

See Also ...

• MAXIMA :: TAYLOR ... Taylor Expansion

maxima_residue