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October 16th, 2012, 11:19 PM  #1 
Newbie Joined: Aug 2012 Posts: 7 Thanks: 0  Find all entire functions f
Find all the entire functions f such that and for all . My attempt at this question... Let . Since and are entire and (since ). is entire & . By Liouville's Theorem, for some . for some , since . Hence Now it is given that , and , hence . Is this correct? Are there any other solutions? Any improvement/suggestion is welcomed! Thanks in advance!. 
October 17th, 2012, 01:49 AM  #2 
Newbie Joined: Aug 2012 Posts: 7 Thanks: 0  Re: Find all entire functions f
Sorry, for the question it should be instead of 

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