The factorial Schur function
The factorial Schur function
复制标题
阶乘 Schur 函数
DOI：
10.1063/1.530032
复制
发表时间：
1993
影响因子：
1.3
通讯作者：
J. Louck
中科院分区：
文献类型：
--
作者：
William Y. C. Chen;J. Louck
的应用程序的一个函数的除差的非齐次对称函数（阶乘Schur函数）的Biedenharn和Louck的显示，导致新的关系和简化证明其性质。这些结果包括行列式的定义和阶乘Jacobi-Trudi恒等式与扩展斜版本。第二类对称函数依赖于任意参数的类似性质，以及广义超几何函数和级数的重要性，也可以从除差概念推导出来，稍微扩展。
The application of the divided difference of a function to the inhomogeneous symmetric functions (factorial Schur functions) of Biedenharn and Louck is shown to lead to new relations and simplified proofs of their properties. These results include determinantal definitions and the factorial Jacobi–Trudi identities with extensions to skew versions. Similar properties of a second class of symmetric functions depending on an arbitrary parameter, and of importance for generalized hypergeometric functions and series, are shown also to be derivable from the divided difference notion, slightly extended.