• DOI:10.2298/fil1811881k
Corpus ID: 149748910

Some formulas for Bell numbers

@article{Komatsu2018SomeFF,
  title={Some formulas for Bell numbers},
  author={T. Komatsu and C. Pita-Ruiz},
  journal={Filomat},
  year={2018},
  volume={32},
  pages={3881-3889}
}

• T. Komatsu, C. Pita-Ruiz
• Published 2018
• Mathematics
• Filomat

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We give elementary proofs of three formulas involving Bell numbers, including a generalization of the Gould-Quaintance formula and a generalization of Spivey’s formula. We find variants for two of our formulas which involve some well-known sequences, among them the Fibonacci, Bernoulli and Euler numbers.