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Glossary

Analytic function: A complex function f (z) is said to be analytic at a point z0 if it is differentiable at the point z0 and also at each point in some neighbourhood of the point z0.

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 ΔC arg f (z) = NP 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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