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 ...
In this paper we extend to the discrete case a Karhunen-Loève expansion already known for continuous families of classical orthogonal polynomials. This expansion involves Krawtchouk polynomials. It ...
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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