complex function

Let C be a clockwise oriented closed curve in the complex plane defined by |z| = 1. Further, let f(z) = jz be a complex function, where j = √-1. Then, ∮_C f(z)dz = ________ (round...

Which of the following complex functions is/are analytic on the complex plane?

Consider the complex function $f(z) = \cos z + e^{z^2}$. The coefficient of $z^5$ in the Taylor series expansion of $f(z)$ about the origin is ________ (rounded off to 1 decimal pl...