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 |
Externí odkaz: |