The relationship between a stable multivariable polynomial p(z) and the Fourier coefficients of its spectral density function \(1/|p(z)|^2\), is further investigated. In this paper we focus on the radial asymptotics of the Fourier coefficients for a specific choice of a two variable polynomial. Hypergeometric functions appear in the analysis, and new results are derived for these as well.

中文翻译：

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双变量稳定多项式的谱密度函数

进一步研究了稳定的多元多项式p ( z ) 与其谱密度函数\(1/|p(z)|^2\)的傅立叶系数之间的关系。在本文中，我们专注于特定选择的二变量多项式的傅立叶系数的径向渐近性。超几何函数出现在分析中，并且也为这些函数导出了新的结果。