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/