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Some Identities Involving the Fubini Polynomials and Euler Polynomials

Author

Listed:
  • Guohui Chen

    (College of Mathematics & Statistics, Hainan Normal University, Haikou 571158, China)

  • Li Chen

    (School of Mathematics, Northwest University, Xi’an 710127, China)

Abstract

In this paper, we first introduce a new second-order non-linear recursive polynomials U h , i ( x ) , and then use these recursive polynomials, the properties of the power series and the combinatorial methods to prove some identities involving the Fubini polynomials, Euler polynomials and Euler numbers.

Suggested Citation

  • Guohui Chen & Li Chen, 2018. "Some Identities Involving the Fubini Polynomials and Euler Polynomials," Mathematics, MDPI, vol. 6(12), pages 1-6, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:300-:d:187642
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    References listed on IDEAS

    as
    1. Taekyun Kim, 2008. "Euler Numbers and Polynomials Associated with Zeta Functions," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-11, May.
    2. Taekyun Kim, 2008. "Euler Numbers and Polynomials Associated with Zeta Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
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    Cited by:

    1. Dmitry Kruchinin & Vladimir Kruchinin & Yilmaz Simsek, 2020. "Generalized Tepper’s Identity and Its Application," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    2. Dae San Kim & Dmitry V. Dolgy & Dojin Kim & Taekyun Kim, 2019. "Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials," Mathematics, MDPI, vol. 7(4), pages 1-16, March.
    3. Dan-Dan Su & Yuan He, 2019. "Some Identities for the Two Variable Fubini Polynomials," Mathematics, MDPI, vol. 7(2), pages 1-11, January.

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