Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers

The aim of this paper is to introduce the degenerate harmonic-Fubini polynomials and numbers related to the degenerate harmonic numbers and to study their properties, explicit expressions and some identities. In addition, as generalizations of those polynomials and numbers, we also introduce the degenerate hyperharmonic-Fubini polynomials and numbers related to the degenerate hyperharmonic numbers and derive similar results to the degenerate harmonic-Fubini polynomials and numbers.

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Publication Details

Journal
Applicable Analysis and Discrete Mathematics
Published
2025-01-01
DOI
https://doi.org/10.2298/aadm240124014k
Citations
2
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
7.45
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article

Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers

Dae San Kim, Taekyun Kim
2 citations
Applicable Analysis and Discrete Mathematics
Mathematical functions and polynomials
7.45
article

Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers

Dae San Kim, Taekyun Kim
article en
2 citations

Abstract

The aim of this paper is to introduce the degenerate harmonic-Fubini polynomials and numbers related to the degenerate harmonic numbers and to study their properties, explicit expressions and some identities. In addition, as generalizations of those polynomials and numbers, we also introduce the degenerate hyperharmonic-Fubini polynomials and numbers related to the degenerate hyperharmonic numbers and derive similar results to the degenerate harmonic-Fubini polynomials and numbers.

Applicable Analysis and Discrete MathematicsVol. 19(2)
Sogang University (KR), Kwangwoon University (KR)
Openalex Percentile: Top 3%
Mathematical functions and polynomials
7.45
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