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Timeline for Recognize this sum

Current License: CC BY-SA 3.0

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Apr 10, 2014 at 13:47 comment added Alexandre Eremenko For the definition of order and type, see any book which has "Entire functions" in the title, the best one is Levin, Lectures on entire functions, or another book of the same author.
Apr 10, 2014 at 8:53 comment added joaopa What do you mean by rational order and normal type?
Apr 10, 2014 at 4:02 history edited Alexandre Eremenko CC BY-SA 3.0
added 93 characters in body
Apr 10, 2014 at 3:53 comment added Alexandre Eremenko The reference you gave shows relation to Bessel functions when $\alpha=1$ only.
Apr 10, 2014 at 3:45 comment added Daniel Parry It is related to special functions! dlmf.nist.gov/10.46. Regardless, you helped me get in the right direction so I shall accept the answer anyway.
Apr 10, 2014 at 3:44 vote accept Daniel Parry
Apr 10, 2014 at 3:43 history answered Alexandre Eremenko CC BY-SA 3.0