Publication: Some identities for generalized harmonic numbers
dc.contributor.author | Koparal, Sibel | |
dc.contributor.author | Ömür, N. | |
dc.contributor.author | Sudemen, K. N. | |
dc.contributor.buuauthor | KOPARAL, SİBEL | |
dc.contributor.department | Fen ve Edebiyat Fakültesi | |
dc.contributor.department | Matematik Bölümü | |
dc.contributor.researcherid | FFN-3081-2022 | |
dc.date.accessioned | 2025-02-06T11:29:22Z | |
dc.date.available | 2025-02-06T11:29:22Z | |
dc.date.issued | 2024-01-01 | |
dc.description.abstract | In this paper, we derive some nonlinear differential equations from generating function of generalized harmonic numbers and give some identities involving generalized harmonic numbers and special numbers by using these differential equations. For example, for any positive integers N, n, r, alpha and any integer m >= 2, S1(n + N, r + 1) n ! n X = j=0 n X i=0 i X l=0 l X z=0 r X k=0 ! ! N j alpha i (1)l-z-i m i l + m 2 l z i l j! ( n i)! x S1(N, r k + 1) S 1 ( n i, k) H(z, j 1 , alpha) where S 1 ( n, k ) is Stirling number of the first kind. | |
dc.identifier.doi | 10.57016/MV-BLXV3088 | |
dc.identifier.eissn | 2406-0682 | |
dc.identifier.endpage | 302 | |
dc.identifier.issn | 0025-5165 | |
dc.identifier.issue | 4 | |
dc.identifier.scopus | 2-s2.0-85207476733 | |
dc.identifier.startpage | 288 | |
dc.identifier.uri | https://doi.org/10.57016/MV-BLXV3088 | |
dc.identifier.uri | https://hdl.handle.net/11452/50168 | |
dc.identifier.volume | 76 | |
dc.identifier.wos | 001357983900006 | |
dc.indexed.wos | WOS.ESCI | |
dc.language.iso | en | |
dc.publisher | Math Soc Serbia-drustvo Matematicara Srbije | |
dc.relation.journal | Matematicki Vesnik | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Sums | |
dc.subject | Generalized hyperharmonic numbers of order r | |
dc.subject | Daehee numbers | |
dc.subject | Stirling numbers of the first kind and the second kind | |
dc.subject | Generating function | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics | |
dc.title | Some identities for generalized harmonic numbers | |
dc.type | Article | |
dspace.entity.type | Publication | |
local.contributor.department | Fen ve Edebiyat Fakültesi/Matematik Bölümü | |
local.indexed.at | WOS | |
local.indexed.at | Scopus | |
relation.isAuthorOfPublication | 8cb7f10d-dcea-4fcd-90bb-650fdf67a97c | |
relation.isAuthorOfPublication.latestForDiscovery | 8cb7f10d-dcea-4fcd-90bb-650fdf67a97c |
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