Open Access

ARTICLE

Some Identities of the Higher-Order Type 2 Bernoulli Numbers and Polynomials of the Second Kind

Taekyun Kim1,*, Dae San Kim2, Dmitry V. Dolgy3, Si-Hyeon Lee1, Jongkyum Kwon4,*
1 Department of Mathematics, Kwangwoon University, Seoul, 139-701, Korea
2 Department of Mathematics, Sogang University, Seoul, 121-742, Korea
3 Kwangwoon Glocal Education Center, Kwangwoon University, Seoul, 139-701, Korea
4 Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea
* Corresponding Authors: Taekyun Kim. Email: ; Jongkyum Kwon. Email:
(This article belongs to this Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2021, 128(3), 1121-1132. https://doi.org/10.32604/cmes.2021.016532

Received 17 March 2021; Accepted 10 May 2021; Issue published 11 August 2021

Abstract

We introduce the higher-order type 2 Bernoulli numbers and polynomials of the second kind. In this paper, we investigate some identities and properties for them in connection with central factorial numbers of the second kind and the higher-order type 2 Bernoulli polynomials. We give some relations between the higher-order type 2 Bernoulli numbers of the second kind and their conjugates.

Keywords

Bernoulli polynomials of the second kind; higher-order type 2 Bernoulli polynomials of the second kind; higher-order conjugate type 2 Bernoulli polynomials of the second kind

Cite This Article

Kim, T., Kim, D. S., Dolgy, D. V., Lee, S., Kwon, J. (2021). Some Identities of the Higher-Order Type 2 Bernoulli Numbers and Polynomials of the Second Kind. CMES-Computer Modeling in Engineering & Sciences, 128(3), 1121–1132.

Citations




This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1726

    View

  • 1092

    Download

  • 0

    Like

Share Link

WeChat scan