3 papers
math.CA2022
Discrete orthogonality of the polynomial sequences in the -Askey scheme
Luis Verde-Star
We obtain weight functions associated with -linear and -quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional for the Askey-…
math.CA2022
Discrete orthogonality of hypergeometric polynomial sequences on linear and quadratic lattices
Luis Verde-Star
We present a method to obtain weight functions associated with linear and quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional of…
math.CA2016
A class of q-orthogonal polynomial sequences that extends the q-Askey scheme
Luis Verde-Star
We obtain new explicit formulas for the recurrence coefficients of the q-orthogonal polynomial sequences in a class that extends the q-Askey scheme. Our formulas express the recurr…