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

More Information
Summary: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.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM210122021C