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 …

This paper surveys the latest known results concerning the classification of differential
equations of the form [Formula: see text] having a sequence of polynomial eigenfunctions …

Sobolev orthogonal polynomials have been studied extensively in the past quarter-century.
The research in this field has sprawled into several directions and generates a plethora of …

At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most
scientific applications. However, for a rapidly growing body of important scientific computing …

We give examples of problem areas in interpolation, approximation, and quadrature, that
call for orthogonal polynomials not of the classical kind. We then discuss numerical methods …

It is well known that orthogonal polynomials on the real line satisfy a three-term recurrence
relation and conversely every system of polynomials satisfying a three-term recurrence …

Analytic aspects of Sobolev orthogonal polynomials revisited - ScienceDirect Skip to main
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In this paper, we give the canonical expression for an inner product (delined in P the linear
space of real polynomials), for which the set of orthonormal polynomials satisfies a (2N+ 1) …

There has been a considerable amount of recent research on the subject of Sobolev
orthogonal polynomials. In this paper, we consider the problem of when a sequence of …

We investigate the asymptotic properties of orthogonal polynomials for a class of inner
products including the discrete Sobolev inner products\left ⟨ h, g\right ⟩= ∫ hgd μ+ ∑ _ j …