Identities behind some congruences for r-Bell and derangement polynomials

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作者
Grzegorz Serafin
机构
[1] Wrocław University of Science and Technology,Faculty of Pure and Applied Mathematics
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关键词
r-Bell polynomials; Derangement polynomials; Congruences; Identities; 11B73; 11A07; 11C08; 05A15;
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摘要
We derive new congruences bounding r-Bell and derangement polynomials, which generalize the existing ones, while the presented approach is significantly simpler and, at the same time, more informative. Namely, we provide precise identities that imply the congruences and explain somehow their nature.
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