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Order of a zero of a holomorphic function

If a nonzero holomorphic function has expansion

f (z) = (z - z_{0})^{m} g (z), g (z_{0}) \neq = 0,

then

m

is the order or multiplicity of its zero at

z_{0}

.

Table of contents 35 1
- Simple zero Order of a zero of a holomorphic function 11

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