Publications by the researcher in collaboration with Eduardo Godoy Malvar (55)

2018

  1. Orthogonal Polynomial Interpretation of q-Toda and q-Volterra Equations

    Bulletin of the Malaysian Mathematical Sciences Society, Vol. 41, Núm. 1, pp. 393-414

2017

  1. Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices

    Mathematical Modelling of Natural Phenomena, Vol. 12, Núm. 3, pp. 14-43

  2. On moments of hypergeometric bivariate weight functions

    Bulletin des Sciences Mathematiques, Vol. 141, Núm. 8, pp. 766-784

  3. Recursive computation of generalised Zernike polynomials

    Journal of Computational and Applied Mathematics, Vol. 312, pp. 58-64

2016

  1. Approximate calculation of sums II: Gaussian type quadrature

    SIAM Journal on Numerical Analysis, Vol. 54, Núm. 4, pp. 2210-2227

  2. Characterizations of δ-Volterra lattice: A symmetric orthogonal polynomials interpretation

    Journal of Mathematical Analysis and Applications, Vol. 433, Núm. 1, pp. 243-259

2015

  1. Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm

    Journal of Computational and Applied Mathematics, Vol. 284, pp. 50-57

  2. Bivariate raising and lowering differential operators for eigenfunctions of a 2D Fourier transform

    Journal of Physics A: Mathematical and Theoretical, Vol. 48, Núm. 7

  3. Bounds for the zeros of symmetric Kravchuk polynomials

    Numerical Algorithms, Vol. 69, Núm. 3, pp. 611-624

  4. Orthogonal polynomial interpretation of Δ-Toda equations

    Journal of Physics A: Mathematical and Theoretical, Vol. 48, Núm. 40

  5. Zero sets of bivariate Hermite polynomials

    Journal of Mathematical Analysis and Applications, Vol. 421, Núm. 1, pp. 830-841

2014

  1. Approximate calculation of sums i: Bounds for the zeros of gram polynomials

    SIAM Journal on Numerical Analysis, Vol. 52, Núm. 4, pp. 1867-1886

  2. Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices

    Advances in Difference Equations, Vol. 2014, Núm. 1

2013

  1. Basic hypergeometric polynomials with zeros on the unit circle

    Applied Mathematics and Computation, Vol. 225, pp. 622-630

  2. Linear partial q-difference equations on q-linear lattices and their bivariate q-orthogonal polynomial solutions

    Applied Mathematics and Computation, Vol. 223, pp. 520-536

  3. On limit relations between some families of bivariate hypergeometric orthogonal polynomials

    Journal of Physics A: Mathematical and Theoretical, Vol. 46, Núm. 3

  4. Zeros of classical orthogonal polynomials of a discrete variable

    Mathematics of Computation, Vol. 82, Núm. 282, pp. 1069-1095

2012

  1. Bivariate second-order linear partial differential equations and orthogonal polynomial solutions

    Journal of Mathematical Analysis and Applications, Vol. 387, Núm. 2, pp. 1188-1208

  2. Inequalities for zeros of Jacobi polynomials via Obrechkoff's theorem

    Mathematics of Computation, Vol. 81, Núm. 278, pp. 991-1004

  3. On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions

    Journal of Mathematical Analysis and Applications, Vol. 389, Núm. 1, pp. 165-178