Harmonic-binomial Euler-like sums via expansions of (arcsin x)$^{p}$

In this paper we evaluate Euler-like sums involving harmonic/odd harmonic numbers and central binomial coefficients by using the expansion for powers of the inverse sine function. We also evaluate a number of integrals which in turn give rise to new central binomial coefficient and harmonic number identities.

Publication year:2022

Keywords:A1 Journal article

Accessibility:Open