Further Apery-Like Series for Riemann Zeta Function

By means of two transformation formulas of classical hypergeometric series, several Apery-like series involving harmonic numbers of higher order are derived for the Riemann zeta function, including a few identities conjectured by Sun (2015).

Automated summary

Using two transformation formulas of classical hypergeometric series, several Apery-like series for the Riemann zeta function involving higher order harmonic numbers are derived, including some identities conjectured by Sun (2015).