Polynomial approximation constitutes a fundamental framework in numerical analysis and applied mathematics, where complex functions are represented by simpler polynomial forms. A central pillar of ...
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 ...