An analytic function 
on the unit disk is called schlicht
if
1. 
is one-to-one,
2. 
,
and
3. 
,
in which case it is written 
. Schlicht functions have power series of the form
 |
Schlicht Function
See also
Area Principle, Bieberbach Conjecture, Köbe Function, Köbe's One-Fourth TheoremExplore with Wolfram|Alpha
References
Krantz, S. G. "Schlicht Functions." §12.1.1 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 149, 1999.Referenced on Wolfram|Alpha
Schlicht FunctionCite this as:
Weisstein, Eric W. "Schlicht Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchlichtFunction.html