论文标题
Bailey型喇叭功能的因素化
Bailey-type factorizations for Horn functions
论文作者
论文摘要
在本文中，我们有兴趣将Bailey的身份扩展到其他经典的超小几阶功能。 Bailey的身份指出，在适当的参数选择下，Appell的$ F_4 $将两个$ {} _ 2f_1 $'s的产品分解为。我们将展示如何找到Horn的超几何功能$ H_1，H_4 $和$ H_5 $的Bailey型因化。
In this paper we are interested in extending Bailey's identity to other classical hypergeometric functions. Bailey's identity states that under a suitable choice of parameters, Appell's $F_4$ decomposes into a product of two ${}_2F_1$'s. We will show how Bailey-type factorizations can be found for Horn's hypergeometric functions $H_1, H_4$ and $H_5$.
