Foupouagnigni M., Koepf W. (Eds.) Orthogonal Polynomials: 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018

Springer, 2020. — 683 p. — (Tutorials, Schools, and Workshops in the Mathematical Sciences). — ISBN: 978-3-030-36743-5.This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations.
The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.An Introduction to Orthogonal Polynomials
Classical Continuous Orthogonal Polynomials
Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials
Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials
Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials
Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable
Computer Algebra, Power Series and Summation
On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions
The Gamma Function
Hypergeometric Multivariate Orthogonal Polynomials
Signal Processing, Orthogonal Polynomials, and Heun Equations
Some Characterization Problems Related to Sheffer Polynomial Sets
From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals
Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization
Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations
(R,p,q) -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras
Zeros of Orthogonal Polynomials
Properties of Certain Classes of Semiclassical Orthogonal Polynomials
Orthogonal Polynomials and Computer Algebra
Spin Chains, Graphs and State Revival
An Introduction to Special Functions with Some Applications to Quantum Mechanics
Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations