Open Access

ARTICLE

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

Taekyun Kim^1,*, Dae San Kim², Dmitry V. Dolgy³, Si-Hyeon Lee¹, Jongkyum Kwon^4,*

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 the 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.

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Citations