**Analytic function:** A complex function *f* (*z*) is said to be analytic at a point *z*_{0} if it is differentiable at the point *z*_{0} and also at each point in some neighbourhood of the point *z*_{0}.

**Argand diagram:** A complex number can be represented as a point in a two-dimensional Cartesian coordinate system, called the complex plane or Argand diagram.

**Argument principle:** If *f* (*z*) is analytic within and on a positively oriented simple closed contour *C* and *f* (*z*) is non-zero on *C*, then Δ*C* arg *f* (*z*) = *N* − *P* where *N* is the number of zeros and *P* is the number of poles of the function *f* which lies inside *C* (zeros and poles are counted according to their ...

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