Complex Analysis Answers

Find zeros of f(z)=sin hz

Evaluate the integral 1/2"\\pi" i"\\oint"dz /z²(z²+2z+3), where c is the circle |z|=3.

By contour techniques"\\smallint" 1/(2+cos"\\theta") limit 0 to 2"\\pi" .

Evaluate the "\\oint"(12z-7)/(z-1)2(2z+3) dz where c is the circle |z+i|= Sqrt3

Evaluate the integral "\\oint" e^z/z²+1 dz where c is the circle |z|=3.

Determine the poles and the residue at each pole of the function f(z)=1/(z-1)²(z+2)

Find the residue of the function f(z)=1/z(e^z-1)

Prove ∇^2{FG} = F ∇^2 F + 2∇F•∇G

Find a function v such that f(z) = u+iv is analytic [i.e. find the conjugate function of u ].