Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...
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 ...
The paper characterizes matrices A = {aij i,j=0 N which have a given system of vectors orthogonal with respect to a given probability distribution as its right eigenvectors. Results of Hoare and ...
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