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How to find poles and zeros

How to find poles and zeros
  1. How do you find the poles of a function?
  2. How do you find the zeros and poles of a complex function?

How do you find the poles of a function?

How do we find the poles of a function? Well, if we have a quotient function f(z) = p(z)/q(z) where p(z)are analytic at z0 and p(z0) = 0 then f(z) has a pole of order m if and only if q(z) has a zero of order m.

How do you find the zeros and poles of a complex function?

A zero of a meromorphic function f is a complex number z such that f(z) = 0. A pole of f is a zero of 1/f. of f.

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