Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable

Paweł Woźny

Applicationes Mathematicae (2003)

  • Volume: 30, Issue: 1, page 89-107
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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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 -

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