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Complex Analysis
Find the image of the upper half of the xy-plane under the square transformation w = z .
Complex Analysis
Solve the equation 2z^4 -14z^3+33z^2-26z+10 = 0, zeC [where C denotes the set of complex numbers] given that it has root 3+i
Complex Analysis
Solve the equation 13z/z+1 = 11-3i zeC [where C denotes the set of complex numbers]
Complex Analysis
The following equation is given z^3+Pz^2+6z+Q=0, P and QeR has a solution 5-i
(a)Find the other two solutions of the equation (b) Determine the value of P and Q
(a)Find the other two solutions of the equation (b) Determine the value of P and Q
Complex Analysis
The complex number z satisfies the equation 2z-iz* = 3(3-5i) where z* denotes the complex conjugate of z. Determine the value of z giving your answer in the form x+yi where x and y are real numbers.
Complex Analysis
The cubic equation z^3+Az^2+Bz+26=0, A, BeR(A, B are elements in the set R) one root of the above cubic equation is 1+i. Find the real root (ii) Determine the values of A and B.
Complex Analysis
Given the cubic equation 2z^3-z^2+4z+p=0, peR( p is an element of the set of real numbers)
z=1+2i (i) Find the other solution (ii) Determine the value of P
z=1+2i (i) Find the other solution (ii) Determine the value of P
Complex Analysis
Q: Evaluate the following integral using residue theorem
∫z^2 e^z dz ; C : |z| = 1
Complex Analysis
Solve by cauchy integral formula
∫Z^2 e^z dz ; C : |z| = 1
∫Z^2 e^z dz ; C : |z| = 1
Complex Analysis
Use de Moivre's Theorem to derive a formila for the 4th root of -8
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