Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

Feng Qi and Bai-Ni Guo
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Feng Qi: Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
Bai-Ni Guo: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China

Mathematics, 2016, vol. 4, issue 4, 1-11

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.

Keywords: determinantal expression; recurrence relation; Bernoulli number; Bernoulli polynomial; Hessenberg determinant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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