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Results tagged with analytic-continuation
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user 7108
6
votes
Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
I think you can do the following (I haven't checked convergence carefully, so don't trust me too much). Write $a = \frac{m+n}{2}, b = \frac{m-n}{2}.$ Then $mn = a^2-b^2.$ Now (let's ignore indetermina …
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