Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...

We find necessary and sufficient conditions for a spectral differential equation LN[ y ](x) = ∑N i = 1 ℓi(x)y(i)(x) = λn y(x) to have Sobolev orthogonal polynomials of solutions, which are orthogonal ...

This is a preview. Log in through your library . Abstract A new class of orthogonal polynomials is introduced which generalizes the Bernstein-Szego polynomials and includes the associated polynomials ...

We discuss the application of orthogonal polynomials to the estimation of probability density functions, particularly with regard to accessing features of a portfolio's profit/loss distribution. Such ...