Pole
= Pole
A function has a pole of order $k$ at $a$ when $(z-a)^kf(z)$ extends holomorphically and is nonzero at $a$.
A <pole> is the negative-order case in the <zeros and poles> classification of a meromorphic function.
= Pole
A function has a pole of order $k$ at $a$ when $(z-a)^kf(z)$ extends holomorphically and is nonzero at $a$.
A <pole> is the negative-order case in the <zeros and poles> classification of a meromorphic function.