21 citations · 33 across the 4 of their papers we have counts for
4 papers
Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials
Andrei Martínez-Finkelshtein, Ramón Orive, Joaquín Sánchez-Lara
For a given polynomial with simple zeros, and a given semiclassical weight , we present a construction that yields a linear second-order differential equation (ODE), and in…
Extensions of discrete classical orthogonal polynomials beyond the orthogonality
R. S. Costas-Santos, J. F. Sánchez-Lara
It is well known that the family of Hahn polynomials is orthogonal with respect to a certain weight function up to . In this paper we present a fac…
Shannon entropy of symmetric Pollaczek polynomials
A. Martinez-Finkelshtein, J. F. Sanchez-Lara
We discuss the asymptotic behavior (as ) of the entropic integrals and $$ F_n = -\int_{-1}^1 \log…
Computation of the entropy of polynomials orthogonal on an interval
V. Buyarov, J. S. Dehesa, A. Martinez-Finkelshtein +1
We give an effective method to compute the entropy for polynomials orthogonal on a segment of the real axis that uses as input data only the coefficients of the recurrence relation…