J. Varona

activity

19952026

most citedHarmonic Analysis associated with a discrete Laplacian

85 citations · 282 across the 23 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math-ph2012★ 3 cited

A $q$ -linear analogue of the plane wave expansion

Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona

We obtain a $q$ -linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$ -Gegenbauer polynomials and the \textit{third} Jackson $q$ -Bes…

math.NT2012★ 16 cited

A simple computation of $ζ (2 k)$ by using Bernoulli polynomials and a telescoping series

Ó. Ciaurri, L. M. Navas, F. J. Ruiz +1

We present a new proof of Euler's formulas for $ζ (2 k)$ , where $k = 1, 2, 3, ...$ , which uses only the defining properties of the Bernoulli polynomials, obtaining the value of $ζ (2 k)$ …

A q-linear analogue of the plane wave expansion

A simple computation of ζ(2k) by using Bernoulli polynomials and a telescoping series

A $q$ -linear analogue of the plane wave expansion

A simple computation of $ζ (2 k)$ by using Bernoulli polynomials and a telescoping series