论文标题
身份构建中的一分之一的Riordan阵列
One-pth Riordan Arrays in the Construction of Identities
论文作者
论文摘要
对于整数$ p \ geq 2 $，我们从Riordan阵列构建垂直和水平的一分位Riordan阵列。当$ p = 2 $时，将一分之一的Riordan阵列减少到众所周知的Half Riordan阵列。找到了$ a $ a的生成功能，垂直和水平的一分riordan阵列的生成功能。垂直和水平的一分之一的Riordan阵列提供了一种构建许多身份的方法。它们也可以用来验证一些众所周知的身份。
For an integer $p\geq 2$ we construct vertical and horizontal one-pth Riordan arrays from a Riordan array. When $p=2$, one-pth Riordan arrays reduced to well known half Riordan arrays. The generating functions of the $A$-sequences of vertical and horizontal one-pth Riordan arrays are found. The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities. They can also be used to verify some well known identities readily.
