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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.
Paweł Woźny. "Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable." Applicationes Mathematicae 30.1 (2003): 89-107. <http://eudml.org/doc/279693>.
@article{PawełWoźny2003, 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.}, author = {Paweł Woźny}, journal = {Applicationes Mathematicae}, keywords = {Fourier coefficients; recurrence relations; difference equations; orthogonal polynomials of a discrete variable}, language = {eng}, number = {1}, pages = {89-107}, title = {Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable}, url = {http://eudml.org/doc/279693}, volume = {30}, year = {2003}, }
TY - JOUR AU - Paweł Woźny TI - Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable JO - Applicationes Mathematicae PY - 2003 VL - 30 IS - 1 SP - 89 EP - 107 AB - 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. LA - eng KW - Fourier coefficients; recurrence relations; difference equations; orthogonal polynomials of a discrete variable UR - http://eudml.org/doc/279693 ER -