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arXiv · 1610.02965

A q-analog of Schläfli and Gould identities on Stirling numbers

Matthieu Josuat-Vergès
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Abstract

Stirling numbers of both kinds are linked to each other via two combinatorial identities due to Schläfli and Gould. Using q-analogs of Stirling numbers defined as inversion generating functions, we provide q-analogs of the two identities. The proof is computational and we leave open the problem of finding a more combinatorial one.

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Matthieu Josuat-Vergès. 2016-10-10. A q-analog of Schläfli and Gould identities on Stirling numbers. https://arxiv.org/abs/1610.02965

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