Topics on Meixner families

Marek Bożejko, and Nizar Demni. "Topics on Meixner families." Banach Center Publications 89.1 (2010): 61-74. <http://eudml.org/doc/282545>.

@article{MarekBożejko2010,
abstract = {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.},
author = {Marek Bożejko, Nizar Demni},
journal = {Banach Center Publications},
keywords = {Meixner families; orthogonal polynomials; free and quantum probability},
language = {eng},
number = {1},
pages = {61-74},
title = {Topics on Meixner families},
url = {http://eudml.org/doc/282545},
volume = {89},
year = {2010},
}

TY - JOUR
AU - Marek Bożejko
AU - Nizar Demni
TI - Topics on Meixner families
JO - Banach Center Publications
PY - 2010
VL - 89
IS - 1
SP - 61
EP - 74
AB - 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.
LA - eng
KW - Meixner families; orthogonal polynomials; free and quantum probability
UR - http://eudml.org/doc/282545
ER -