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math.CA2023
On classical orthogonal polynomials on bi-lattices
K. Castillo, G. Filipuk, D. Mbouna
In [J. Phys. A: Math. Theor. 45 (2012)], while looking for spin chains that admit perfect state transfer, Vinet and Zhedanov found an apparently new sequence of orthogonal polynomi…
math.CA2023
Epilegomena to the study of semiclassical orthogonal polynomials
K. Castillo, D. Mbouna
In his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005 (paperback edition 2009)], Ismail conjectured that certain structur…
math.CA2023
Remarks on the paper "Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice"
D. Mbouna
We provide a simple method to recognize classical orthogonal polynomials on lattices defined only by their coefficients of the three term recurrence relation.
math.CA2023
Coherent pair of measures for orthogonal polynomials on lattices
D. Mbouna
We consider two sequences of orthogonal polynomials and with respect regular functionals and , respectively. We assume that $…