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References for the Airy functions

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Moderator: Shobhit

Post Sun Apr 23, 2017 11:47 pm

Posts: 10
What are some good references for the Airy functions? In particular, I am interested in the Airy-zeta function

$$\zeta_{Ai}(s)=\sum_{r\in U}\frac{1}{r^s}$$

where $U$ is the set of zeros of $Ai(z)$. I have checked the second reference on the Wolfram page but I'm looking for something more, and the first reference does not seem to be too specific to this function.
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