- Tytuł:
- Linearization of the product of orthogonal polynomials of a discrete variable
- Autorzy:
-
Belmehdi, Saïd
Lewanowicz, Stanisław
Ronveaux, André - Powiązania:
- https://bibliotekanauki.pl/articles/1339159.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
linearization coefficients
classical orthogonal polynomials of a discrete variable
recurrence relations - Opis:
- Let {$P_k$} be any sequence of classical orthogonal polynomials of a discrete variable. We give explicitly a recurrence relation (in k) for the coefficients in $P_iP_j=\sum_kc(i,j,k)P_k$, in terms of the coefficients σ and τ of the Pearson equation satisfied by the weight function ϱ, and the coefficients of the three-term recurrence relation and of two structure relations obeyed by {$P_k$}.
- Źródło:
-
Applicationes Mathematicae; 1996-1997, 24, 4; 445-455
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł