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Results tagged with sequences-and-series
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user 1162
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
2
answers
391
views
Is this infinite series related to some well-known special functions?
Please allow me to resort once again to the expertise of the MathOverflow community :
During research I encoutered the following infinite series :
$$\sum_{n=-\infty}^{+\infty} \frac{u^{2n}}{1+\rho^{ …
- 2,154
8
votes
Which sequences can be extended to analytic functions? (e. g., Ackermann's function)
Actually, there is an even stronger result, often called the interpolation
theorem, which follows from a well-known theorem of Mittag-Leffler:
Let $(z_n)$ be a sequence of complex numbers with no lim …
- 2,154