F. Lima

activity

20052019

most citedAn accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime

79 citations · 125 across the 14 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.NT2012★ 4 cited

A rapidly converging Ramanujan-type series for Catalan's constant

F. M. S. Lima

In this note, by making use of a known hypergeometric series identity, I prove two Ramanujan-type series for the Catalan's constant. The convergence rate of these central binomial…

math.NT2012★ 1 cited

A simpler proof of a Katsurada's theorem and rapidly converging series for $ζ (2 n + 1)$ and $β (2 n)$

F. M. S. Lima

In a recent work on Euler-type formulae for even Dirichlet beta values, i.e. $β (2 n)$ , I have derived an exact closed-form expression for a class of zeta series. From this result,…

A rapidly converging Ramanujan-type series for Catalan's constant

A simpler proof of a Katsurada's theorem and rapidly converging series for ζ(2n+1) and β(2n)

A simpler proof of a Katsurada's theorem and rapidly converging series for $ζ (2 n + 1)$ and $β (2 n)$