the order of poll of function function
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Pole A point z0 is called a pole of order m of f(z) if 1/f has a zero of order m at z0. Let f be analytic. Then f has a zero of order m at z0 if and only if f(z) can be written as f(z) = g(z)(z − z0)m where g is analytic at z0 and g(z0) = 0.
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DEFINITION: Pole A point z0 is called a pole of order m of f(z) if 1/f has a zero of order m at z0. Let f be analytic. Then f has a zero of order m at z0 if and only if f(z) can be written as f(z) = g(z)(z − z0)m where g is analytic at z0 and g(z0) = 0
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