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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 …
F. C.'s user avatar
  • 3,597
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 …
F. C.'s user avatar
  • 3,597