real and imaginary part of sin(z)
Introduction : Here we shall find real and imaginary part of sin(z). Real and imaginary parts of sin(z) are obtained by expanding this function. Question : Find real and imaginary…
show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin
Introduction: In this we will present step by step procedure to show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin . This is a bi linear transformation…
complex integral of z^2/(z+1) over a circle of radius 2
Introduction : In this article, we will described the procedure to evaluate the complex integral of z^2/(z+1) over a circle that contains singularity of the function. This is a complex…
prove that x^2+y^2+ln(x^2+y^2)/2 is harmonic function and find it’s harmonic conjugate
Introduction : A harmonic function is a function that satisfies Laplace equation. Harmonic functions are useful for analysis of analytic function and determining it's harmonic conjugate. Question: Prove that \(…