A function or transformation 
in which 
does not overlap 
.
In modular function theory, a function is called univalent on a subgroup 
if it is automorphic under 
and valence 1 (Apostol 1997).
Univalent Function
See also
ValenceExplore with Wolfram|Alpha
References
Apostol, T. M. Modular Functions and Dirichlet Series in Number Theory, 2nd ed. New York: Springer-Verlag, p. 84, 1997.Referenced on Wolfram|Alpha
Univalent FunctionCite this as:
Weisstein, Eric W. "Univalent Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnivalentFunction.html