Zhejiang Daxue xuebao. Lixue ban, 2008 阐述了特殊函数——冗余函数、线性函数、自反函数、自双反函数的定义.讨论了它们的有关谱系数的性质.据此提出了这四个函数的特点的四个定理，给出了相应谱系数图的特点，得到了基于谱技术的谱系数图检测冗余函数、线性函数、自反函数、自双反函数的新方法.实例展示了基于上述定理的谱系数图检测上述函数的过程.实例表明该方法具有直观、简单等特点.
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