Article ID: MTJPAM-D-20-00033

Title: Analogues of Faulhaber’s Formula for Poly-Bernoulli and Type 2 Poly-Bernoulli Polynomials


Article ID: MTJPAM-D-20-00033; Volume 3 / Issue 1 / Year 2021, Pages 1-6

Document Type: Research Paper

Author(s): Taekyun Kim a , Dae San Kim b , Jongkyum Kwon c

aDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

bDepartment of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

cDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, Republic of Korea

Received: 9 October 2020, Accepted: 28 October 2020, Available online: 7 January 2021.

Corresponding Author: Jongkyum Kwon (Email address: mathkjk26@gnu.ac.kr)

Full Text: PDF

Abstract

Faulhaber’s formula expresses sums of powers of consecutive integers in terms of Bernoulli polynomials. Here we would like to find analogous ones to the Faulhaber’s formula for poly-Bernoulli and type 2 poly-Bernoulli polynomials.

Keywords: Analogues of Faulhaber’s formula, Poly-Bernoulli polynomials, Type 2 poly-Bernoulli polynomials

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