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Entire function of finite order
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Topic: Entire function of finite order
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Jason
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Entire function of finite order
«
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Feb 6
th
, 2004, 11:38pm »
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Let [phi] be a continuous function on [a,b]. Let [alpha] [in] [bbr]. Prove that
f(z)= [int]
b
a
e
[alpha]zt
[phi](t)dt
is an entire function of finite order. Can you compute the order of
f
? Does it depend on [phi]?
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