L. Verde-Star

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math.CA2026

Classification of the hypergeometric orthogonal polynomials via their recurrence coefficients

Luis Verde-Star

We present a new classification of the class of all the hypergeometric orthogonal polynomial sequences. The classification uses properties of the coefficients $α_{n}$ and $β_{n}$ in th…

math.CA2024

$q$ -Hypergeometric Orthogonal Polynomials with $q = - 1$

Luis Verde-Star

We obtain some properties of a class $A$ of $q$ -hypergeometric orthogonal polynomials with $q = - 1$ , described by a uniform parametrization of the recurrence coefficients.…

math.CA2024

A Linear Algebra approach to monomiality and operational methods

Luis Verde-Star

We use linear algebraic methods to obtain general results about linear operators on a space of polynomials that we apply to the operators associated with a polynomial sequence by t…

Classification of the hypergeometric orthogonal polynomials via their recurrence coefficients

q-Hypergeometric Orthogonal Polynomials with q=−1

A Linear Algebra approach to monomiality and operational methods

$q$ -Hypergeometric Orthogonal Polynomials with $q = - 1$