Topics on Meixner families

• Autorzy: Marek Bożejko , Nizar Demni
• Języki publikacji: EN

Abstrakty

EN

We shed some light on the inter-connections between different characterizations leading to the classical Meixner family. This allows us to give free analogs of both Sheffer's and Al-Salam and Chihara's characterizations in the classical case by the use of the free derivative operator. The paper closes with a discussion of the q-deformed case, |q| < 1.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 60G20: Generalized stochastic processes
• 33D45: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 89
• Numer: 1
• Strony: 61-74

Daty

wydano

2010

Twórcy

autor

Marek Bożejko

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Nizar Demni

• Faculty of Mathematics, Bielefeld University, D-33501 Bielefeld, Germany

Identyfikatory

DOI

10.4064/bc89-0-3