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Results tagged with power-series
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user 10881
5
votes
4
answers
640
views
Exponential of a specific hypergeometric series
This is motivated by this question.
Let $f$ be the hypergeometric series
$ f(x) = 2 x \, _{4}F_3([1, 1, 4/3, 5/3], [2, 2, 2], 27 x) $
which is explictly given by
$ f(x) = \sum_{n \geq 1} \frac{(3n …
- 3,597
4
votes
Combinatorial interpretation of composition of power series?
When rephrased (using the positive generating series $g=-f$) as the identity $g(-g(-t))=t$, this suggests that there may exist a quadratic nonsymmetric operad with this generating series, which is Kos …
- 3,597