Identities and congruences involving the Fubini polynomials

Miloud Mihoubi; Said Taharbouchet

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arXiv · 1706.08950

Identities and congruences involving the Fubini polynomials

Miloud Mihoubi·Said Taharbouchet

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Abstract

In this paper, we investigate the umbral representation of the Fubini polynomials $F_{x}^{n}:=F_{n}(x)$ to derive some properties involving these polynomials. For any prime number $p$ and any polynomial $f$ with integer coefficients, we show $(f(F_{x}))^{p}\equiv f(F_{x})$ and we give other curious congruences.

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Miloud Mihoubi, Said Taharbouchet. 2017-06-27. Identities and congruences involving the Fubini polynomials. https://arxiv.org/abs/1706.08950

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