A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series

Published 26 Jul 2021 in math.NT | (2107.11969v1)

Abstract: In this paper we show that a closed form formula for the generalized Clebsch-Gordan integral and the Fourier-Legendre expansion theory allow to evaluate hypergeometric series involving powers of the normalized central binomial coefficient ${\displaystyle \frac{1}{4^{{n}}\dbinom{2n}{n}}$.}