POLYLOGARITHMIC CONNECTIONS WITH EULER SUMS

DOI10.5644/SJM.12.1.02zbMath1424.05011MaRDI QIDQ5380731

Anthony Sofo

Publication date: 6 June 2019

Published in: SARAJEVO JOURNAL OF MATHEMATICS (Search for Journal in Brave)

zbMATH Keywords

integral representationsummation formulasbinomial coefficientspolylogarithm functionalternating harmonic numberscombinatorial series identitiespartial fraction approachLerch transcendent function

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) Generalized hypergeometric series, ({}_pF_q) (33C20) Special sequences and polynomials (11B83)

Related Items (8)

Explicit evaluation of some integrals involving polylogarithm functions ⋮ Euler sums of generalized harmonic numbers and connected extensions ⋮ Integrals of polylogarithmic functions with negative argument ⋮ General order Euler sums with multiple argument ⋮ General order Euler sums with rational argument ⋮ Efficient approximations of finite and infinite real alternating p -series ⋮ On evaluations of Euler-type sums of hyperharmonic numbers ⋮ Integrals of polylogarithmic functions with alternating argument

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