Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Chen, Y.
AU - Ismail, M.E.H.
AU - van Assche, W.
TI - Tau-Function Constructions of the Recurrence Coefficients of Orthogonal Polynomials
JO - Advances in Applied Mathematics
PY - 1998-02-01T00:00:00///
VL - 20
IS - 2
SP - 141
EP - 168
N2 - In this paper we compute the recurrence coefficients of orthogonal polynomials using tau-function techniques. It is shown that for polynomials orthogonal with respect to positive weight functions on a noncompact interval, the recurrence coefficient can be expressed as the change in the chemical potential which, for sufficiently large N is the second derivative of the free energy with respect to N, the particle number. We give three examples using this technique: Freud weights, Erdos weights, and weak exponential weights. Copyright 1998 Academic Press.
UR - http://www.ingentaconnect.com/content/ap/am/1998/00000020/00000002/art00574
ER -