论文标题
$(p,q)$ - 复杂的itô-热矿多项式
$(p,q)$-complex Itô--Hermite polynomials
论文作者
论文摘要
我们介绍了两类$(p,q)$ - iTô--荷米属多项式,即$ q $-Itô-----------------------------------------------------------------------------》(Ismail and Zhang)最近引入了。我们研究了它们的基本属性,例如它们的Rodrigues类型的操作公式,相应的升高和降低操作员以及它们的生成功能以及$(P,P $ differententence core的方程式。
We introduce two classes of $(p,q)$-Itô--Hermite polynomials, the post-quantum analogs of the $q$-Itô--Hermite polynomials introduced recently by Ismail and Zhang. We study their basic properties such as their operational formulas of Rodrigues type, the corresponding raising and lowering operators as well as their generating functions and the $(p,p$-differential equations they obey.