Series involving degenerate harmonic numbers and degenerate Stirling numbers

Recently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those properties.

Bibliographic Details
Main Authors: Lingling Luo, Yuankui Ma, Taekyun Kim, Rongrong Xu
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2023.2297045
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author Lingling Luo
Yuankui Ma
Taekyun Kim
Rongrong Xu
author_facet Lingling Luo
Yuankui Ma
Taekyun Kim
Rongrong Xu
author_sort Lingling Luo
collection DOAJ
description Recently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those properties.
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spelling doaj.art-b3ba5276b2e04a5590687127f3157a1a2024-12-06T04:24:25ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2023.2297045Series involving degenerate harmonic numbers and degenerate Stirling numbersLingling Luo0Yuankui Ma1Taekyun Kim2Rongrong Xu3School of Science, Xi'an Technological University, Xi'an, Shaanxi, People's Republic of ChinaSchool of Science, Xi'an Technological University, Xi'an, Shaanxi, People's Republic of ChinaDepartment of Mathematics, Kwangwoon University, Seoul, Republic of KoreaSchool of Science, Xi'an Technological University, Xi'an, Shaanxi, People's Republic of ChinaRecently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those properties.https://www.tandfonline.com/doi/10.1080/27690911.2023.2297045Harmonic numbersdegenerate harmonic numbersdegenerate hyperharmonic numbersdegenerate Stirling numbersdegenerate r-Stirling numbers11B73
spellingShingle Lingling Luo
Yuankui Ma
Taekyun Kim
Rongrong Xu
Series involving degenerate harmonic numbers and degenerate Stirling numbers
Applied Mathematics in Science and Engineering
Harmonic numbers
degenerate harmonic numbers
degenerate hyperharmonic numbers
degenerate Stirling numbers
degenerate r-Stirling numbers
11B73
title Series involving degenerate harmonic numbers and degenerate Stirling numbers
title_full Series involving degenerate harmonic numbers and degenerate Stirling numbers
title_fullStr Series involving degenerate harmonic numbers and degenerate Stirling numbers
title_full_unstemmed Series involving degenerate harmonic numbers and degenerate Stirling numbers
title_short Series involving degenerate harmonic numbers and degenerate Stirling numbers
title_sort series involving degenerate harmonic numbers and degenerate stirling numbers
topic Harmonic numbers
degenerate harmonic numbers
degenerate hyperharmonic numbers
degenerate Stirling numbers
degenerate r-Stirling numbers
11B73
url https://www.tandfonline.com/doi/10.1080/27690911.2023.2297045
work_keys_str_mv AT linglingluo seriesinvolvingdegenerateharmonicnumbersanddegeneratestirlingnumbers
AT yuankuima seriesinvolvingdegenerateharmonicnumbersanddegeneratestirlingnumbers
AT taekyunkim seriesinvolvingdegenerateharmonicnumbersanddegeneratestirlingnumbers
AT rongrongxu seriesinvolvingdegenerateharmonicnumbersanddegeneratestirlingnumbers