Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable
Volume 30 / 2003
Applicationes Mathematicae 30 (2003), 89-107
MSC: 33C45, 39A70, 42C10, 42A16.
DOI: 10.4064/am30-1-6
Abstract
A method is given to find a recurrence relation for the coefficients of the series expansion of a function $f$ with respect to classical orthogonal polynomials of a discrete variable, which follows from a linear difference equation satisfied by $f$.