Euler-related sums

DOI10.1186/2251-7456-6-10zbMath1285.11031OpenAlexW1973147382WikidataQ59289111 ScholiaQ59289111MaRDI QIDQ1953775

Anthony Sofo

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-10

zbMATH Keywords

binomial coefficientsharmonic numberspolygamma functionscombinatorial series identitiespartial fraction approach

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identities for the harmonic numbers and binomial coefficients
• Summation formula involving harmonic numbers
• Riordan arrays and harmonic number identities
• Certain summation formulas involving harmonic numbers and generalized harmonic numbers
• Some families of combinatorial and other series identities and their applications
• A pair of operator summation formulas and their applications
• Sums of derivatives of binomial coefficients
• Generalized harmonic numbers with Riordan arrays
• Further summation formulae related to generalized harmonic numbers
• Harmonic sums and integral representations
• Extensions of Euler harmonic sums
• Gaussian Hypergeometric series and supercongruences
• Experimental Evaluation of Euler Sums

This page was built for publication: Euler-related sums