Some Sums Involving Generalized Harmonic and r-Derangement Numbers

Sibel Koparal

doi:10.17776/csj.1365360

EN

Some Sums Involving Generalized Harmonic and r-Derangement Numbers

Abstract

In this paper, we derive some sums involving generalized harmonic and r-derangement numbers by using generating functions of these numbers and some combinatorial identities. The relationship between Daehee numbers and generalized harmonic numbers of rank r, H(n,r,α) is given. In addition, sums including Daehee numbers of order r,D_n^r, generalized hyperharmonic numbers of order r, H_n^r (α), Cauchy numbers of order r, C_n^r and the stirling numbers of the first kind, s(n,i) are also calculated.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical and Computational Mathematics (Other)

Journal Section

Research Article

Authors

Sibel Koparal ^*
0000-0001-9574-9652
Türkiye

Publication Date

March 28, 2024

Submission Date

September 23, 2023

Acceptance Date

November 28, 2023

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

https://doi.org/10.17776/csj.1365360

IZ

https://izlik.org/JA28AW84KW

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RIS / Bibtex

APA

Koparal, S. (2024). Some Sums Involving Generalized Harmonic and r-Derangement Numbers. Cumhuriyet Science Journal, 45(1), 111-116. https://doi.org/10.17776/csj.1365360

Some Sums Involving Generalized Harmonic and r-Derangement Numbers

Abstract

Keywords

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References

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Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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