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A higher-order convolution for Bernoulli polynomials of the second kind

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  • He, Yuan
  • Kim, Taekyun

Abstract

In this paper, we perform a further investigation for the Bernoulli polynomials of the second kind. By making use of the generating function methods and summation transform techniques, we establish a higher-order convolution identity for the Bernoulli polynomials of the second kind. We also present some illustrative special cases as well as immediate consequences of the main result.

Suggested Citation

  • He, Yuan & Kim, Taekyun, 2018. "A higher-order convolution for Bernoulli polynomials of the second kind," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 51-58.
    • Handle: RePEc:eee:apmaco:v:324:y:2018:i:c:p:51-58
    DOI: 10.1016/j.amc.2017.12.014
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    Cited by:

    1. Yuan He & Serkan Araci & Hari M. Srivastava & Mahmoud Abdel-Aty, 2018. "Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials," Mathematics, MDPI, vol. 6(12), pages 1-14, December.
    2. Sung-Soo Pyo & Taekyun Kim & Seog-Hoon Rim, 2018. "Degenerate Daehee Numbers of the Third Kind," Mathematics, MDPI, vol. 6(11), pages 1-10, November.

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