Some formulas for Bell numbers

Komatsu, Takao; Pita-Ruiz, Claudio

doi:10.2298/FIL1811881K

Some formulas for Bell numbers

Journal

Filomat

ISSN

0354-5180

2406-0933

Date Issued

2018

Author(s)

Komatsu, Takao

Pita-Ruiz, Claudio

Facultad de Ingeniería - CampCM

Type

text::journal::journal article

DOI

10.2298/FIL1811881K

URL

https://scripta.up.edu.mx/handle/20.500.12552/4289

Abstract

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. © 2018, University of Nis. All rights reserved.