$\barα$ -Whitney数的$q$ -模拟
A $q$-analogue of $\barα$-Whitney Numbers
摘要：
我们定义了$(q,\bar{\boldsymbolα})$数，当$q\rightarrow1$时，这些数被简化为$\bar{\boldsymbolα}$数。此外，我们还得到了这些数的一些性质，如显式公式、递推关系、生成函数、正交性和逆关系。最后，我们定义了$\bar{\boldsymbolα}$ -Whitney-Lah数作为$r$ -Whitney-Lah数的推广，并介绍了它们的重要基本性质。
英文摘要：
We define the $(q,\bar{\boldsymbolα})$-Whitney numbers which are reduced to the $\bar{\boldsymbolα}$-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 $\bar{\boldsymbolα}$-Whitney-Lah numbers as a generalization of the $r$-Whitney-Lah numbers and we introduce their important basic properties.
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