Math 2.0

Functions of a complex variable Concept

Order of a zero

Summary

The order of a zero z0z_0 of a holomorphic function ff is the smallest mm with f(m)(z0)≠0f^{(m)}(z_0) \neq 0, see the definition. Near such a zero, f(z)=(z−z0)mg(z)f(z) = (z - z_0)^m g(z) with g(z0)≠0g(z_0) \neq 0.

Further reading

  1. Web https://en.wikipedia.org/wiki/Zeros_and_poles, Definitions
About this page
Tag0QX19C7K1C
URIm2://0QX19C7K1C
Aliasesmultiplicity-of-a-zero
Kindconcept
WritingW0 stub
MSC30C15

Markdown · JSON · Edit on GitHub

What this page needs for W1

  • an inventory row: the row of the inventory that the node accounts for (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Definitions