An entire function 
is said to be of finite order if there exist numbers 
such that
 |
for all 
.
The infimum of all numbers 
for which this inequality holds is called the function
order of 
,
denoted 
.
Finite Order
See also
Entire Function, Function OrderExplore with Wolfram|Alpha
References
Krantz, S. G. "Finite Order." §9.3.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 121, 1999.Referenced on Wolfram|Alpha
Finite OrderCite this as:
Weisstein, Eric W. "Finite Order." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FiniteOrder.html