Generating Function: Multiple Orthogonal Polynomials

Abstract

At present, interest in the study of multiple orthogonal polynomials has increased due to the development of simultaneous rational approximation of functions and the link between the two theories. Orthogonal polynomials and Padé approximants are essential areas for research, because of its applications in different branches of mathematics such as number theory, the problem of moments, the analytic extension, interpolation problems, spectral theory of operators and others.