Infinite series about harmonic numbers inspired by Ramanujan-like formulae

By employing the coefficient extraction method from hypergeometric series, we shall es-tablish numerous closed form evaluations for infinite series containing central binomial coefficients and harmonic numbers, including several conjectured ones made by Z.-W. Sun.

Automated summary

By using the coefficient extraction method from hypergeometric series, the researchers have derived closed form evaluations for various infinite series that involve central binomial coefficients and harmonic numbers. These closed form evaluations include several conjectures proposed by Z.-W. Sun.