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 ...
Let S be a polynomial of degree 2n + 2, that is, positive on the real axis, and let w = 1/S on (-∞, ∞). We present an explicit formula for the nth orthogonal polynomial and related quantities for the ...