论文标题
布雷索德多项式的新递归
A new recursion for Bressoud's polynomials
论文作者
论文摘要
仅一个变量中的新递归允许对Bressoud的多项式身份进行非常简单的验证，这导致了Rogers-Ramanujan身份。可以将这种方法与查普曼引起的较早方法进行比较。正如Cigler所建议的那样，应用$ Q $ -CHU-VANDERMONDE卷积使计算特别简单且基本。同样的处理也适用于桑托斯多项式，也许是从罗杰斯 - 拉曼努扬（Rogers-Ramanujan）列表的多项式中应用的，例如多项式\ cite {sills}。
A new recursion in only one variable allows very simple verifications of Bressoud's polynomial identities, which lead to the Rogers-Ramanujan identities. This approach might be compared with an earlier approach due to Chapman. Applying the $q$-Chu-Vandermonde convolution, as suggested by Cigler, makes the computations particularly simple and elementary. The same treatment is also applied to the Santos polynomials and perhaps more polynomials from a list of Rogers-Ramanujan like polynomials \cite{Sills}.
