The Springer Series in Computational Physics is a collection of books that cover various computational methods in physics. The series includes works on topics such as plasma physics, fluid dynamics, bifurcation theory, and numerical methods. The books in the series are edited by prominent physicists and mathematicians, including C. A. J. Fletcher, R. Glowinski, W. Hillebrandt, M. Holt, P. Hut, H. B. Keller, J. Killeen, S. A. Orszag, and V. V. Rusanov. The book "Classical Orthogonal Polynomials of a Discrete Variable" is part of this series. It presents a systematic and concise theory of polynomial solutions of the hypergeometric-type difference equation. The book discusses classical orthogonal polynomials of a discrete variable, such as the Hahn, Meixner, Kravchuk, and Charlier polynomials, and their applications in various fields of physics and mathematics. The book also explores the connection between these polynomials and special functions, as well as their use in computational mathematics, probability theory, and coding theory. The book is divided into several chapters, each focusing on different aspects of the theory of classical orthogonal polynomials of a discrete variable. It includes a detailed discussion of the difference equation of hypergeometric type, the properties of classical orthogonal polynomials, and their applications. The book also presents a generalization of the difference equation to nonuniform lattices and discusses the representation of these polynomials in terms of generalized hypergeometric functions. The authors of the book are A.F. Nikiforov, V.B. Uvarov, and S.K. Suslov. The book is aimed at a wide range of specialists in theoretical and mathematical physics and computational mathematics. It is suitable for use as a textbook for undergraduate and graduate students of physical and mathematical disciplines, those studying quantum mechanics, and those who lecture on mathematics and physics. The book is also of interest to mathematicians and physicists who are looking for a comprehensive overview of the theory and applications of classical orthogonal polynomials of a discrete variable.The Springer Series in Computational Physics is a collection of books that cover various computational methods in physics. The series includes works on topics such as plasma physics, fluid dynamics, bifurcation theory, and numerical methods. The books in the series are edited by prominent physicists and mathematicians, including C. A. J. Fletcher, R. Glowinski, W. Hillebrandt, M. Holt, P. Hut, H. B. Keller, J. Killeen, S. A. Orszag, and V. V. Rusanov. The book "Classical Orthogonal Polynomials of a Discrete Variable" is part of this series. It presents a systematic and concise theory of polynomial solutions of the hypergeometric-type difference equation. The book discusses classical orthogonal polynomials of a discrete variable, such as the Hahn, Meixner, Kravchuk, and Charlier polynomials, and their applications in various fields of physics and mathematics. The book also explores the connection between these polynomials and special functions, as well as their use in computational mathematics, probability theory, and coding theory. The book is divided into several chapters, each focusing on different aspects of the theory of classical orthogonal polynomials of a discrete variable. It includes a detailed discussion of the difference equation of hypergeometric type, the properties of classical orthogonal polynomials, and their applications. The book also presents a generalization of the difference equation to nonuniform lattices and discusses the representation of these polynomials in terms of generalized hypergeometric functions. The authors of the book are A.F. Nikiforov, V.B. Uvarov, and S.K. Suslov. The book is aimed at a wide range of specialists in theoretical and mathematical physics and computational mathematics. It is suitable for use as a textbook for undergraduate and graduate students of physical and mathematical disciplines, those studying quantum mechanics, and those who lecture on mathematics and physics. The book is also of interest to mathematicians and physicists who are looking for a comprehensive overview of the theory and applications of classical orthogonal polynomials of a discrete variable.