Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
Journal article published in 2016 by
Feng Qi 
,
Bai-Ni Guo
,
Bai-Ni Guo
This paper is made freely available by the publisher.
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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.