Publication:
Some identities for generalized harmonic numbers

dc.contributor.authorKoparal, Sibel
dc.contributor.authorÖmür, N.
dc.contributor.authorSudemen, K. N.
dc.contributor.buuauthorKOPARAL, SİBEL
dc.contributor.departmentFen ve Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.researcheridFFN-3081-2022
dc.date.accessioned2025-02-06T11:29:22Z
dc.date.available2025-02-06T11:29:22Z
dc.date.issued2024-01-01
dc.description.abstractIn 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.doi10.57016/MV-BLXV3088
dc.identifier.eissn2406-0682
dc.identifier.endpage302
dc.identifier.issn0025-5165
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85207476733
dc.identifier.startpage288
dc.identifier.urihttps://doi.org/10.57016/MV-BLXV3088
dc.identifier.urihttps://hdl.handle.net/11452/50168
dc.identifier.volume76
dc.identifier.wos001357983900006
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherMath Soc Serbia-drustvo Matematicara Srbije
dc.relation.journalMatematicki Vesnik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSums
dc.subjectGeneralized hyperharmonic numbers of order r
dc.subjectDaehee numbers
dc.subjectStirling numbers of the first kind and the second kind
dc.subjectGenerating function
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleSome identities for generalized harmonic numbers
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen ve Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atWOS
local.indexed.atScopus
relation.isAuthorOfPublication8cb7f10d-dcea-4fcd-90bb-650fdf67a97c
relation.isAuthorOfPublication.latestForDiscovery8cb7f10d-dcea-4fcd-90bb-650fdf67a97c

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