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

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math.CA2019

Closed-form expressions for Farhi's constant and related integrals and its generalization

F. M. S. Lima

In a recent work, Farhi developed a Fourier series expansion for the function $ln Γ (x)$ on the interval $(0, 1)$ , which allowed him to derive a nice formula for the constant $…

math.CA2010★ 4 cited

New definite integrals and a two-term dilogarithm identity

F. M. S. Lima

Among the several proofs known for $\sum_{n = 1}^{\infty} 1/ n^{2} = π^{2} /6$ , the one by Beukers, Calabi, and Kolk involves the evaluation of $\,\int_0^1 {\int_0^1{1/(1-x^2 y^2) \, dx}…