J. Varona

most citedA class of weighted Delannoy numbers

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.GM2026

Zeros of GKP sequences of polynomials

Antonio J. Durán, Mario Pérez, Juan L. Varona

Given two sequences $ϕ = (ϕ_{i})_{i \geq 1}$ and $ψ = (ψ_{i})_{i \geq 1}$ and numbers $a, b, c$ , we introduce the GKP sequence of polynomials $(p_{n})_{n}$ using the following recurrence formula: $p…

math.CO2025★ 2 cited

A class of weighted Delannoy numbers

J. M. Grau, A. M Oller-Marcen, J. L. Varona

The weighted Delannoy numbers are defined by the recurrence relation $f_{m, n} = α f_{m - 1, n} + β f_{m, n - 1} + γ f_{m - 1, n - 1}$ if $mn > 0$ , with $f_{m, n} = α^{m} β^{n}$ if $nm = 0$ . In this work, we…

math.NT2023

The computation of $ζ (2 k)$ , $β (2 k + 1)$ and beyond by using telescoping series

Óscar Ciaurri, Luis M. Navas, Francisco J. Ruiz +1

We present some simple proofs of the well-known expressions for \[ ζ(2k) = \sum_{m=1}^\infty \frac{1}{m^{2k}}, \qquad β(2k+1) = \sum_{m=0}^\infty \frac{(-1)^m}{(2m+1)^{2k+1}}, \] w…

Zeros of GKP sequences of polynomials

A class of weighted Delannoy numbers

The computation of ζ(2k), β(2k+1) and beyond by using telescoping series

The computation of $ζ (2 k)$ , $β (2 k + 1)$ and beyond by using telescoping series