Identities behind some congruences for r-Bell and derangement polynomials

  title={Identities behind some congruences for r-Bell and derangement polynomials},
  author={Grzegorz Serafin},
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. 
Backward Touchard congruence
  • G. Serafin
  • Mathematics
    Bulletin of the Belgian Mathematical Society - Simon Stevin
  • 2022
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