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general >> complex analysis >> Entire function of finite order
(Message started by: Jason on Feb 6th, 2004, 11:38pm)

Title: Entire function of finite order
Post by Jason on Feb 6th, 2004, 11:38pm
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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