Complex Analysis Answers

Find inverse Laplace transform of F(s) = 50 (s + 1)(s + 5)

Geometric representation of S={Im(z-i)=|z+I|}

Find the inverse Laplace Transform of {1/s^3(s^2+1)}

find inverse laplace transorm : se^-2s/(s^2 + pi^2)

Using Residue theorem evaluate ∫0^2π dθ/2+sinθ ?

Find all possible Taylor's series and Laurent series expansions of f(z)= (2z - 3)/((z - 2)(z - 1)) about z=0?

Find the Bilinear transformation which maps the points z=0,1, infinity onto the points w=0,i,2i

Evaluate the integral using residue theorem ∫sin(3x)/(5-3cos(x)) where limits of integration are from zero to 2π.

show that u e^-2xy sin x2 y2 is harmonic

Use Cauchy’s Integral formulas to evaluate the following integral along the

indicated closed contours.

∮

z

2+3z+2i

z

2+3z−4

dz;

C

(a) |z| = 2 (b) |z + 5| =

3

2