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Results tagged with growth-rate
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user 18812
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Questions on the behaviour of functions of exponential type 1
I am interested in understanding the properties of entire functions of exponential type 1. I have few questions about their growth.
How many sectors can a function of exponential type have, in which …
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Does the rate of decay of an entire function dictate the global growth rate?
If $f$ is entire and we assume a decay rate on $\mathbb{R}^+$, does this dictate a growth rate on $\mathbb{C}$?
For example, is there a function that decays as $e^{-x^2}$ on $\mathbb{R}^+$ and is of …
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