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Function Order

The infimum of all number a for which

|f(z)|<=exp(|z|^a)

holds for all |z|>r and f an entire function, is called the order of f, denoted lambda=lambda(f) (Krantz 1999, p. 121).

See also

Entire Function, Finite Order

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References

Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 121, 1999.

Referenced on Wolfram|Alpha

Function Order

Cite this as:

Weisstein, Eric W. "Function Order." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FunctionOrder.html

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