J. F. Mañas–Mañas

activity

20162026

most citedLadder operators and a second--order difference equation for general discrete Sobolev orthogonal polynomials

3 citations · 6 across the 7 of their papers we have counts for

collaborators

8 papers

math.CA2026

Discrete orthogonal polynomials related to Hahn difference operator

J. F. Mañas-Mañas, J. J. Moreno-Balcázar, M. N. Rebocho +1

This work studies general sequences of discrete orthogonal polynomials on linear lattices, including the so-called discrete Laguerre--Hahn orthogonal polynomials. We deduce the str…

math.CA2025★ 1 cited

Asymptotics for some $q$ -hypergeometric polynomials

Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar

We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some $q$ --hypergeometric polynomials. Some consequences about the asymptotic behavior of…

math.CA2024

Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation

Galina Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar +1

We tackle the regularisation of a differential system related to generalised Krawtchouk polynomials. We show a straightforward connection between certain auxiliary quantities invol…

math.CA2022

Characterization of Orthogonal Polynomials on lattices

D. Mbouna, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar

We consider two sequences of orthogonal polynomials $(P_{n})_{n \geq 0}$ and $(Q_{n})_{n \geq 0}$ such that $$ \sum_{j=1} ^{M} a_{j,n}\mathrm{S}_x\mathrm{D}_x ^k P_{k+n-j} (z)=\sum_{j=1}…

math.CA2020★ 3 cited

Ladder operators and a second--order difference equation for general discrete Sobolev orthogonal polynomials

Galina Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar

We consider a general discrete Sobolev inner product involving the Hahn difference operator, so this includes the well--known difference operators $D_{q}$ and $Δ$ and, as…

math.CA2019★ 2 cited

Classical Sobolev orthogonal polynomials: eigenvalue problem

Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar

We consider the discrete Sobolev inner product $(f, g)_{S} = \int f (x) g (x) d μ + M f^{(j)} (c) g^{(j)} (c), j \in N \cup {0}, c \in R, M > 0,$ where $μ$ is a c…

math.CA2017

Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics

Lance L. Littlejohn, Juan F. Mañas-Mañas, Juan J. Moreno--Balcázar +1

We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^αdx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)…

math.CA2016

Asymptotic behavior of varying discrete Jacobi--Sobolev orthogonal polynomials

Juan F. Mañas-Mañas, Francisco Marcellán, Juan J. Moreno-Balcázar

In this contribution we deal with a varying discrete Sobolev inner product involving the Jacobi weight. Our aim is to study the asymptotic properties of the corresponding orthogona…