论文标题
关于连续加泰罗尼亚人数的线性组合的汉克尔变换的注释
Notes on the Hankel transform of linear combinations of consecutive pairs of Catalan numbers
论文作者
论文摘要
我们为连续的加泰罗尼亚数字对线性组合的汉克尔变换提供了围绕封闭形式的上下文。这概括了转移加泰罗尼亚数字的汉克尔变换的公式，并已知的加泰罗尼亚数字对线性组合的结果。出现了许多有趣的数字三角形，其中一些我们使用Riordan阵列的语言进行分析。
We provide a context around a conjectured closed form for the Hankel transform of linear combinations of consecutive pairs of Catalan numbers. This generalizes the formula for the Hankel transforms of the shifted Catalan numbers and the known results for linear combinations of pairs of Catalan numbers. Many interesting number triangles emerge, some of which we analyze using the language of Riordan arrays.
