Results 111 to 120 of about 18,239 (195)

Generalized Fibonacci numbers and Bernoulli polynomials [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2019
Anthony G. Shannon   +2 more
openaire   +1 more source

Bernoulli numbers and Bessel polynomials

open access: yesDuke Mathematical Journal, 1959
Al-Salam, W. A., Carlitz, L.
openaire   +2 more sources

A note on Bernoulli numbers and polynomials

open access: yes, 1974
Put \(S_k =S_k(n) = \sum_{n=0}^{n-1} a^k\). It is well known that \(S_1^2 = S_3\), \(2S_1^4 = S_5 + S_7\). Stern showed that [\textit{P. Bachmann}, Niedere Zahlentheorie. Tell II (Teubner, Leipzig, 1910, p. 20) (reprint Chelsea, Bronx, 1968; Zbl. 253.10001)) \[ 2^{m-1} S_1^m = \sum_{2j < m} \binom{m}{2j+1} S_{2m-2j-1}.
openaire   +2 more sources

Algebraic Structures of Bernoulli Numbers and Polynomials

open access: yes, 2010
In a field of Laurent series, we construct a subring which has a module structure over a Weyl algebra. Identities of Bernoulli numbers and polynomials are obtained from these algebraic structures.
openaire   +2 more sources

Extended Wang sum and associated products. [PDF]

open access: yesPLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

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