The positive-definiteness of the complete symmetric functions of even order
The positive-definiteness of the complete symmetric functions of even order
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DOI：
10.1017/s030500410005386x
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发表时间：
1977-09
影响因子：
0.8
通讯作者：
D. Hunter
中科院分区：
文献类型：
--
作者：
D. Hunter
实n元组x=(x1，x2，…)对称函数经典理论中的一个重要作用，xn)由生成函数定义的完全对称函数或齐次乘积和hr来表示(见Littlewood(5)，第82页)。在以前的一篇论文(4)中，我猜想H_2R是正定的。本文的主要目的是以更尖锐的形式证明这一猜想。
An important role in the classical theory of symmetric functions of a real n-tuple x = (x1, x2, …, xn) is played by the complete symmetric functions or homogeneous product sums hr defined by the generating function (see Littlewood (5), p. 82). In an earlier paper (4) I conjectured that h2r is positive definite. The main object of the present paper is to prove this conjecture in a rather sharper form.