A function element is an ordered pair 
where 
is a disk 
and 
is an analytic function
defined on 
.
If 
is an open set, then a function element in 
is a pair 
such that 
.
Function Element
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References
Krantz, S. G. "Function Elements." §10.1.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 128, 1999.Referenced on Wolfram|Alpha
Function ElementCite this as:
Weisstein, Eric W. "Function Element." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FunctionElement.html