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2016•FilomatOpen access

Some identities relating to degenerate Bernoulli polynomials

Taekyun Kim, Dae San Kim, Hyuck-In Kwon

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Abstract

Recently, Carlitz degenerate Bernoulli numbers and polynomials have been studied by several authors (see [3,4]). In this paper, we consider new degenerate Bernoulli numbers and polynomials, different from Carlitz degenerate Bernoulli numbers and polynomials, and give some formulae and identities related to these numbers and polynomials.

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What this paper is about

Recently, Carlitz degenerate Bernoulli numbers and polynomials have been studied by several authors (see [3,4]). In this paper, we consider new degenerate Bernoulli numbers and polynomials, different from Carlitz degenerate Bernoulli numbers and polynomials, and give some formulae and identities related to these numbers and polynomials.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Recently, Carlitz degenerate Bernoulli numbers and polynomials have been studied by several authors (see [3,4]). In this paper, we consider new degenerate Bernoulli numbers and polynomials, different from Carlitz degenerate Bernoulli numbers and polynomials, and give some formulae and identities related to these numbers and polynomials.

Key concepts: Mathematics, Degenerate energy levels, Bernoulli number, Bernoulli polynomials, Bernoulli's principle, Orthogonal polynomials, Difference polynomials, Pure mathematics

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