Finite Order

An entire function f is said to be of finite order if there exist numbers a,r>0 such that


for all |z|>r. The infimum of all numbers a for which this inequality holds is called the function order of f, denoted lambda=lambda(f).

See also

Entire Function, Function Order

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Krantz, S. G. "Finite Order." §9.3.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 121, 1999.

Referenced on Wolfram|Alpha

Finite Order

Cite this as:

Weisstein, Eric W. "Finite Order." From MathWorld--A Wolfram Web Resource.

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