- Tytuł:
- On block recursions, Askeys sieved Jacobi polynomials and two related systems
- Autorzy:
-
Aldana, Bernarda
Charris, Jairo
Mora-Valbuena, Oriol - Powiązania:
- https://bibliotekanauki.pl/articles/966096.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
continued fractions
moment functionals
Askey-Wilson and Rogers polynomials
Chebyshev
sieved orthogonal polynomials
orthogonal polynomials
Jacobi and ultraspherical polynomials - Opis:
- Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
- Źródło:
-
Colloquium Mathematicum; 1998, 78, 1; 57-91
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł