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Results tagged with sequences-and-series
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user 170778
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
3
votes
Evaluating a sinusoidal series
Those are very close to the spherical Bessel functions of the first kind
$$f_{n}=\left(\frac{-z}{2}\right)^{n}j_{n}(z)=(-1)^{n}\frac{\sqrt{\pi}}{2}\left(\frac{z}{2}\right)^{n-\frac{1}{2}}J_{n+\frac{1} …
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