731 citations · 1k across the 24 of their papers we have counts for
27 papers
The ultraspherical background of the Jacobi phase expansion, in closed form
Iván Area
The large-degree phase of carries, at each order in $\Nn^{-1}=(n+\frac{α+β+1}2)^{-1}$, an additive constant which the phase equation does not determine.…
Dyadic denominator bounds and a transfer principle for the phase constants of Jacobi zeros
Iván Area
A formal large-degree phase expansion associated with the zeros of the Jacobi polynomial contains a sequence of constants , each of which is a polynomi…
Bernstein-type bases on -quadratic lattices and Askey--Wilson\slash -Racah connection coefficients
Iván Area
On the -quadratic lattices that carry the Askey--Wilson polynomials, the two roles played by a single Bernstein basis on the linear lattice, namely being a nonnegative partition…
A Digital Twin of a Compartmental Epidemiological Model based on a Stieltjes Differential Equation
Iván Area, F. J. Fernández, Juan J. Nieto +1
We introduce a digital twin of the classical compartmental SIR (Susceptible, Infected, Recovered) epidemic model and study the interrelation between the digital twin and the system…
Learning and teaching Einstein's Theory of Special Relativity: state of the art
Xabier Prado, José Manuel Domínguez, Iván Area +3
This work analyzes the difficulties in learning and teaching Einstein's theory of special relativity. An extensive bibliographic review has been performed, considering articles pub…
Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
Esra Güldoğan-Lekesiz, Rabia Aktaş, Iván Area
In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parse…