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This article first analysizes the property of orthogonal polynomial when weight function is even, then proves the existence of commom zero point of associated orthogonal polynomials and present a sufficient condition.

首先分析了权函数为偶函数时正交多项式的性质 ,继而证明了相伴正交多项式公共零点的存在性 ,并给出了一个充分条件 。