Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Let ${P_k}$ be any sequence of classical orthogonal polynomials. Further, let f be a function satisfying a linear differential equation with polynomial coefficients. We give an algorithm to construct, in a compact form, a recurrence relation satisfied by the coefficients $a_k$ in $f = ∑_{k}a_kP_k$. A systematic use of the basic properties (including some nonstandard ones) of the polynomials ${P_k}$ results in obtaining a low order of the recurrence.
Słowa kluczowe
Kategorie tematyczne
- 42C15: General harmonic expansions, frames
- 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
- 42A16: Fourier coefficients, Fourier series of functions with special properties, special Fourier series
- 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
Czasopismo
Rocznik
Tom
Numer
Strony
97-116
Opis fizyczny
Daty
wydano
2002
Twórcy
autor
- Institute of Computer Science, University of Wrocław, Przesmyckiego 20, 51-151 Wrocław, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-9