Fábio M. S. Lima

activity

20092026

most citedLecture notes on Legendre polynomials: their origin and main properties

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2026

On the $(n, ℵ_{0})$ -Lineability of Nowhere Differentiable Functions

Fábio Lima, Mônica Santos, Geivison Ribeiro

We establish a countable-dimensional extension property for the family of continuous nowhere differentiable functions, which we denote by $\ND[0,1]$. More precisely, we prove that…

math-ph2022★ 3 cited

Lecture notes on Legendre polynomials: their origin and main properties

F. M. S. Lima

It is well-known that separation of variables in 2nd order partial differential equations (PDEs) for physical problems with spherical symmetry usually leads to Cauchy's differentia…

math.HO2009

Using known zeta-series to derive the Dancs-He series for $ln 2$ and $ζ (2 n + 1)$

F. M. S. Lima

In a recent work, Dancs and He found new `Euler-type' formulas for $ln 2$ and $ζ (2 n + 1)$ , $n$ being a positive integer, each containing a series that apparently can…

On the (n,ℵ0​)-Lineability of Nowhere Differentiable Functions

Lecture notes on Legendre polynomials: their origin and main properties

Using known zeta-series to derive the Dancs-He series for ln2 and ζ(2n+1)

On the $(n, ℵ_{0})$ -Lineability of Nowhere Differentiable Functions

Using known zeta-series to derive the Dancs-He series for $ln 2$ and $ζ (2 n + 1)$