Wallis-type Infinite Product Formula with Central Binomial Numbers
Key Points
This study aims to establish a Wallis-type infinite product formula related to central binomial numbers.
Derivation of a Wallis-type product formula using central binomial numbers.
Mathematical analysis of convergence properties of the established formula.
The established product formula converges to ϖ/π, where ϖ is approximately 2.622.
Abstract
A Wallis-type product formula is established using the central binomial numbers. This is shown to converge to ϖ/π, where ϖ ≈ 2.622 is the lemniscate constant.