The authors use known hypergeometric summation theorems and power-series coefficient comparison to produce many infinite binomial-harmonic sums whose closed forms involve Riemann zeta values and powers of log 2.
W ang, A nonterminating 7F6-series evaluation , Integral Transforms and Special Function
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Infinite Summation Formulas Involving Riemann-Zeta function
The authors use known hypergeometric summation theorems and power-series coefficient comparison to produce many infinite binomial-harmonic sums whose closed forms involve Riemann zeta values and powers of log 2.