A $q$-analogue of $\bar\alpha$-Whitney Numbers

Autor: El-Desouky, B. S., Shiha, F. A.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
DOI: 10.2298/AADM1801178E
Popis: We define the $(q,\bar{\boldsymbol{\alpha}})$-Whitney numbers which are reduced to the $\bar{\boldsymbol{\alpha}}$-Whitney numbers when $q\rightarrow1$. Moreover, we obtain several properties of these numbers such as explicit formulas, recurrence relations, generating functions, orthogonality and inverse relations. Finally, we define the $\bar{\boldsymbol{\alpha}}$-Whitney-Lah numbers as a generalization of the $r$-Whitney-Lah numbers and we introduce their important basic properties.
Comment: 14 pages
Databáze: arXiv