Complex numbers are the numbers of the form a+ib where a and b are real numbers.
Definition:- Complex numbers are defined as an ordered pair of real numbers like (x,y) where
and both x and y are real numbers and x is known as real part of complex number and y is known as imaginary part of the complex number.
This page contains short description about Liouville’s Theorem , Taylor’s Theorem , Laurent series, singularities, poles , residues etc. You can also download a pdf copy of contents of this page.
A function is said to be analytic in a domain D if it is single valued and differentiable at every point in the domain D.
Points in a domain at which function is not differentiable are singularities of the function in domain D.