SHIFTED HARMONIC SUMS OF ORDER TWO

DOI10.4134/CKMS.2014.29.2.239zbMath1290.05007MaRDI QIDQ5419282

Anthony Sofo

Publication date: 6 June 2014

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

gamma functionsummation formulasbinomial coefficientsharmonic numberspolygamma functioncombinatorial series identitiespartial fraction approachhypergeometric identity

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) Generalized hypergeometric series, ({}_pF_q) (33C20) Special sequences and polynomials (11B83) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (20)

Some BBP-type series for polylog integrals ⋮ Quadratic and cubic harmonic number sums ⋮ Log-hyperbolic tangent integrals and Euler sums ⋮ Moments of log-tanh integrals ⋮ Alternating Euler sums and BBP-type series ⋮ Parameterized families of polylog integrals ⋮ Explicit evaluations of log-log integrals ⋮ Unnamed Item ⋮ Euler sums of generalized harmonic numbers and connected extensions ⋮ Some results on \(q\)-harmonic number sums ⋮ Integrals involving the Legendre Chi function ⋮ Two integrals involving the Legendre chi function ⋮ Explicit evaluation of harmonic sums ⋮ General order Euler sums with rational argument ⋮ EVALUATING LOG-TANGENT INTEGRALS VIA EULER SUMS ⋮ On evaluations of Euler-type sums of hyperharmonic numbers ⋮ Euler-like sums via powers of log, arctan and arctanh functions ⋮ Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers ⋮ Some evaluation of harmonic number sums ⋮ Identities for the shifted harmonic numbers and binomial coeffecients

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