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Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

Feng Qi, Bai-Ni Guo

Mathematics · 2016

doi:10.3390/math4040065 (opens in a new tab)

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Abstract

In the paper, the authors recall some known determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, find alternative determinantal expressions in terms of the Hessenberg determinants for the Bernoulli numbers and polynomials, and present several new recurrence relations for the Bernoulli numbers and polynomials.

Abstract licence: CC BY

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