Content deleted Content added
WP:CITEVAR and possible WP:COI |
Citation bot (talk | contribs) Add: authors 1-1. Removed parameters. Some additions/deletions were parameter name changes. | Use this bot. Report bugs. | Suggested by Dominic3203 | Linked from User:Mathbot/Most_linked_math_articles | #UCB_webform_linked 405/1913 |
||
Line 8:
==Definitions==
A function <math>f</math> is called a rational function if it can be written in the form<ref>{{cite book | last=Rudin | first=Walter |author-link=Walter Rudin | title=Real and Complex Analysis | publisher=McGraw-Hill Education | publication-place=New York, NY | date=1987 | isbn=978-0-07-100276-9|
</ref>
Line 35:
A complex rational function with degree one is a [[Möbius transformation]].
Rational functions are representative examples of [[meromorphic function]]s.<ref>{{cite book |
Iteration of rational functions on the [[Riemann sphere]] (i.e. a [[rational mapping]]) creates [[discrete dynamical system]]s.<ref>{{cite journal | last=Blanchard | first=Paul | title=Complex analytic dynamics on the Riemann sphere | journal=Bulletin of the American Mathematical Society | volume=11 | issue=1 | date=1984 | issn=0273-0979 | doi=10.1090/S0273-0979-1984-15240-6 | doi-access=free | pages=85–141|url=https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-11/issue-1/Complex-analytic-dynamics-on-the-Riemann-sphere/bams/1183551835.full}} p. 87</ref>
| |||