Interesting Ramanujan-Like Series Associated with Powers of Central Binomial Coefficients
Department of Mathematics
Christopher Newport University
Newport News, VA 23606
We find various Ramanujan-like series that involve the
central binomial coefficients.
In contrast with the traditional hypergeometric function approach, our
method uses Fourier-Legendre series expansions via specialization,
inner product, and Parseval's identity.
Several classical identities are recovered as particular cases.
Full version: pdf,
(Concerned with sequences
Received October 8 2021; revised version received January 5 2022.
Published in Journal of Integer Sequences,
January 28 2022.
Journal of Integer Sequences home page