Classical Orthogonal Polynomials of Discrete Variable. q-classical polynomials of the Hahn class and generalizations of the q-polynomials on non-uniform lattices

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This book provides a detailed survey of q-classical orthogonal polynomials of the Hahn class and their extensions on non-uniform lattices. It explores the orthogonality of polynomial solutions to the q-hypergeometric difference equation and presents a general theory of Krall-type polynomials on q-quadratic lattices.