STRUCTURE RELATIONS FOR ORTHOGONAL POLYNOMIALS
Abbreviated Journal Title
Pac. J. Math.
general orthogonal polynomials; Freud weights; Askey-Wilson type; polynomials; Jacobi-Toda weights; ASKEY-WILSON POLYNOMIALS; FREUD POLYNOMIALS; Mathematics
We show how to derive structure relations for general orthogonal polynomials, that is, we find operators whose action on p(n) is a combination of p(n) and p(n+1) with variable coefficients. We also provide an analogue of the string equation for general orthogonal polynomials. We explore the connection with Toda lattice and polynomials orthogonal with respect to general exponential weights.
Pacific Journal of Mathematics
"STRUCTURE RELATIONS FOR ORTHOGONAL POLYNOMIALS" (2009). Faculty Bibliography 2000s. 1660.