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Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials

Author

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  • Feng Qi

    (Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
    College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
    Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300387, China)

  • Bai-Ni Guo

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China)

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.

Suggested Citation

  • Feng Qi & Bai-Ni Guo, 2016. "Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials," Mathematics, MDPI, vol. 4(4), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:4:p:65-:d:83601
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    References listed on IDEAS

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    1. Qi, Feng, 2015. "Derivatives of tangent function and tangent numbers," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 844-858.
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