Infinite series on quadratic skew harmonic numbers

By combining hypergeometric series computations with partial fraction decompositions, we present full solutions to the evaluation problems about two classes of infinite series involving squared central binomial coefficients and quadratic skew harmonic numbers. Two further series of similar type are also examined.

Automated summary

By combining hypergeometric series computations with partial fraction decompositions, we provide complete solutions to the evaluation problems of two types of infinite series involving squared central binomial coefficients and quadratic skew harmonic numbers. We also examine two additional series of similar type.