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   Author  Topic: Entire function of finite order  (Read 4406 times)
Jason
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Entire function of finite order  
« on: Feb 6th, 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] ba 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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