Abel function/Definition: Difference between revisions

Latest revision as of 06:35, 11 March 2009

Citable Version ^[?]

A definition or brief description of Abel function.

A strictly increasing continuous function g satisfying $g(f(z))=f(z)+1$ for a given function f.

Revision as of 16:06, 8 March 2009 (view source) imported>Larry Sanger ("of uniqueness" or "of their uniqueness"? My definition (and the author's syntax) needs to be reviewed by a mathematician)		Latest revision as of 06:35, 11 March 2009 (view source) imported>Jitse Niesen (rewrite definition, following article of Szekeres; I'm not sure what "uniqueness" is supposed to refer to)
Line 1:		Line 1:
	<noinclude>{{Subpages}}</noinclude>		<noinclude>{{Subpages}}</noinclude>
	A ~~special kind of solution of the Abel equations, used to classify them as superfunctions, and formulate conditions of uniqueness~~.		A strictly increasing continuous function ''g'' satisfying <math>g(f(z)) = f(z)+1</math> for a given function ''f''.