Binomial formula for Macdonald polynomials and applications
Binomial formula for Macdonald polynomials and applications
复制标题
麦克唐纳多项式的二项式公式及其应用
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
A. Okounkov
中科院分区：
文献类型：
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作者：
A. Okounkov
本文推广了文[002]中证明的Jack多项式的二项式公式，并考虑了它的一些应用。§1二项式公式二项式型定理（即关于不同点的泰勒和牛顿插值展开式）是处理特殊函数的有力工具。高中二项式公式是函数f（x）= x关于点x = 1的泰勒展开式。它的q-变形是纽结为x = 1，q，q，. . .，内容如下：
We generalize the binomial formula for Jack polynomials proved in [OO2] and consider some applications. §1 Binomial formula Binomial type theorems (that is Taylor and Newton interpolation expansions about various points) are powerful tools for handling special functions. The high-school binomial formula is the Taylor expansion of the function f(x) = x about the point x = 1. Its q-deformation is the Newton interpolation with knots x = 1, q, q, . . . , which reads