J. Varona

collaborators

2 papers

math.GM2026

Zeros of GKP sequences of polynomials

Antonio J. DurÃ¡n, Mario PÃ©rez, Juan L. Varona

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

math.CO2025

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 $f_{m, n} = I^\pm f_{m - 1, n} + I^^{2} f_{m, n - 1} + I^^{3} f_{m - 1, n - 1}$ if $mn > 0$ , with $f_{m,n}=Î±^m Î²^n$ if $nm = 0$ . In this wor…