Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...
Transactions of the American Mathematical Society, Vol. 341, No. 2 (Feb., 1994), pp. 749-770 (22 pages) The close relationship between orthogonal polynomial sequences and polynomial hypergroups is ...
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 ...
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 ...
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