This is the first book on constructive methods for, and applications of orthogonal
polynomials, and the first available collection of relevant Matlab codes. The book begins …

One aspect in the theory of orthogonal polynomials is their study as special functions. Most
important orthogonal polynomials can be written as terminating hypergeometric series and …

A new set of special functions, which has a wide range of applications from number theory to
integrability of nonlinear dynamical systems, is described. We study multiple orthogonal …

We show that the average characteristic polynomial P n (z)= E det (zI− M) of the random
Hermitian matrix ensemble Z_n^-1exp(-Tr(V(M)-AM))dM is characterized by multiple …

In the early nineties, Fokas, Its and Kitaev observed that there is a natural Riemann-Hilbert
problem (for 2 x× 2 matrix functions) associated with a system of orthogonal polynomials …

We consider the random matrix ensemble with an external source defined on n× n Hermitian
matrices, where A is a diagonal matrix with only two eigenvalues±a of equal multiplicity. For …

The aim of this research is to investigate the effect of the use of code. org (particularly
Course 2) on elementary school students' attitudes towards programming, and whether the …

In this paper, we extend the theory of discrete orthogonal polynomials (on a linear lattice) to
polynomials satisfying orthogonality conditions with respect to r positive discrete measures …

We present a generalization of multiple orthogonal polynomials of types I and II, which we
call multiple orthogonal polynomials of mixed type. Some basic properties are formulated …

Multiple orthogonal polynomials are traditionally studied because of their connections to
number theory and approximation theory. In recent years they were found to be connected to …