Euler sums of generalized harmonic numbers and connected extensions

This paper presents the evaluation of the Euler sums of generalized hyper-harmonic numbers Hn(p,q) in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated...

Full description

Saved in:
Bibliographic Details
Published inApplicable analysis and discrete mathematics p. 21
Main Authors Can, Mümün, Kargın, Levent, Dil, Ayhan, Soylu, Gültekin
Format Journal Article
LanguageEnglish
Published 2022
Online AccessGet full text
ISSN1452-8630
2406-100X
DOI10.2298/AADM210122021C

Cover

Abstract This paper presents the evaluation of the Euler sums of generalized hyper-harmonic numbers Hn(p,q) in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of the Riemann zeta values.
AbstractList This paper presents the evaluation of the Euler sums of generalized hyper-harmonic numbers Hn(p,q) in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of the Riemann zeta values.
Author Kargın, Levent
Can, Mümün
Soylu, Gültekin
Dil, Ayhan
Author_xml – sequence: 1
  givenname: Mümün
  surname: Can
  fullname: Can, Mümün
  organization: Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
– sequence: 2
  givenname: Levent
  surname: Kargın
  fullname: Kargın, Levent
  organization: Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
– sequence: 3
  givenname: Ayhan
  surname: Dil
  fullname: Dil, Ayhan
  organization: Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
– sequence: 4
  givenname: Gültekin
  surname: Soylu
  fullname: Soylu, Gültekin
  organization: Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
BookMark eNpVkLFOwzAUAC1UJNrCyuwfSHnPiZ14jEKhSEUsHdgix3mGoMRGdiMBX08RLEw3nHTDrdjCB0-MXSNshNDVTV3fPgoEFAIENmdsKQpQGQI8L9gSCymySuVwwVYpvQHISmq9ZM12HinyNE-JB8dfyFM04_BFPX81cQp-sNzPU0cxceN7boP3ZI8nTR9H8mkIPl2yc2fGRFd_XLPD3fbQ7LL90_1DU-8zW2qbFU4byLEgpaDojCp71KbvXIXmRIcCpe61U2A1SalyWwpVkuqcVNgJZ_I12_xmbQwpRXLtexwmEz9bhPbnQPv_QP4NMVpQ4A
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.2298/AADM210122021C
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2406-100X
EndPage 21
ExternalDocumentID 10_2298_AADM210122021C
GroupedDBID 23M
2WC
53S
5GY
AAHSX
AAYXX
ABBHK
ABDBF
ABJPR
ABXSQ
ACHDO
ACIPV
ACMTB
ACTMH
ACUHS
ADULT
AEHFS
AELHJ
AENEX
AEUPB
AFOWJ
AFVYC
AGLNM
AIHAF
ALMA_UNASSIGNED_HOLDINGS
ALRMG
AMVHM
C1A
CITATION
CS3
DQDLB
ECEWR
EOJEC
ESX
IPSME
JAAYA
JBMMH
JENOY
JHFFW
JKQEH
JLEZI
JLXEF
JMS
JPL
JST
KQ8
OBODZ
OK1
OVT
RNS
SA0
TR2
TUS
ID FETCH-LOGICAL-c79c-4f9a0314e6604ba67d19adbf81a9adf12159d9f60c9e5563c7267e6bf561b2fa3
ISSN 1452-8630
IngestDate Tue Jul 01 03:34:46 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Language English
License http://creativecommons.org/licenses/by/4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c79c-4f9a0314e6604ba67d19adbf81a9adf12159d9f60c9e5563c7267e6bf561b2fa3
OpenAccessLink http://www.doiserbia.nb.rs/ft.aspx?id=1452-86302200021C
PageCount 1
ParticipantIDs crossref_primary_10_2298_AADM210122021C
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2022-00-00
PublicationDateYYYYMMDD 2022-01-01
PublicationDate_xml – year: 2022
  text: 2022-00-00
PublicationDecade 2020
PublicationTitle Applicable analysis and discrete mathematics
PublicationYear 2022
SSID ssj0058599
Score 2.2098186
Snippet This paper presents the evaluation of the Euler sums of generalized hyper-harmonic numbers Hn(p,q) in terms of the famous Euler sums of generalized harmonic...
SourceID crossref
SourceType Index Database
StartPage 21
Title Euler sums of generalized harmonic numbers and connected extensions
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1NTxsxELUoXNoDKl9qoUU-IHGolmZdrxcfwwJCRUFCDVJuke21AZEPFJID_PrO2LveDeJAe9lNrNiJdl7s5xnPG0IOlIZFPbNZYhwvE16yLFEmZ4k2XGrgD8xYr_Z5JS5u-O9BNmiODvnskrk-Mi9v5pX8j1WhDeyKWbL_YNk4KDTAa7AvXMHCcH2Xjc8WIxRjXoz9eYzboCB9_wIcEgWpfW2bUPHjqUpfg0nVIMX0ru-n6KqrVWhDMBtzqVStVYL9MHN3BuT6xzhqvEYmXgQHag8D7ifFONyayL6a3SJdPUlDhoOXi4rcObifu893DUL_TJ9HC--rDyON5vah0gavXBOs5adMeQYTrahCLta3IXeAWb8zWJovWytvePN6TmdMYp5Ct3vaYyhGBl-UFs3qVUfsXy1q8aghbHJwhOFy_w9kjeV5imdAL69j2Am2Tr7gaPz1QeUT-_9c7t9iMS060v9M1qt9BO0GUGyQFTvZJJ96jYG2SOHhQREedOpoCx60hget4EHBzDTCgzbw2Cb987N-cZFUNTMSk0uTcCcVFiSwQnS4ViIvU6lK7Y5TBXeHUiKylE50jLQoDQd_S5FboR3QaM2c-rVDVifTif1CqM1TJkqZG8lLrmEj7bQwQIf1scZgXfaVHNaPYPgYlFGGbz_s3Xd_co98RBwFF9c3sjqfLex3IH1zve8N9RfTEVPU
linkProvider Colorado Alliance of Research Libraries
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Euler+sums+of+generalized+harmonic+numbers+and+connected+extensions&rft.jtitle=Applicable+analysis+and+discrete+mathematics&rft.au=Can%2C+M%C3%BCm%C3%BCn&rft.au=Karg%C4%B1n%2C+Levent&rft.au=Dil%2C+Ayhan&rft.au=Soylu%2C+G%C3%BCltekin&rft.date=2022&rft.issn=1452-8630&rft.eissn=2406-100X&rft.spage=21&rft.epage=21&rft_id=info:doi/10.2298%2FAADM210122021C&rft.externalDBID=n%2Fa&rft.externalDocID=10_2298_AADM210122021C
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1452-8630&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1452-8630&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1452-8630&client=summon