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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am30-1-6,
author = {Pawe\l\ Wo\'zny},
title = {Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable},
journal = {Applicationes Mathematicae},
volume = {30},
year = {2003},
pages = {89-107},
zbl = {1030.42024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-1-6}
}
Paweł Woźny. Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable. Applicationes Mathematicae, Tome 30 (2003) pp. 89-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-1-6/