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Pole

A function has a pole of order

k

at

a

when

(z - a)^{k} f (z)

extends holomorphically and is nonzero at

a

.

Table of contents 169 5
- Meromorphic function Pole 117 3
  - Rational function Meromorphic function 92 2
    - Partial fraction decomposition Rational function 37
    - Order of vanishing Rational function 32
- Exponential of a pole is an essential singularity Pole 32

 Ancestors (7)

 Incoming links (5)

 Synonyms (1)

Poles