一类函数方程的周期性
Periodicity of a Class of Functional Equations
摘要:
本文针对函数方程f(x+T)f(x) =af(x+T)+bf(x)+c分别获得f(x)是周期为2T、3T、4T函数的充分条件,推广了已有结论。
Abstract:
The sufficient conditions are obtained that the f(x) is a periodic function with period 2T, 3T or 4T for the functional equation f(x+T)f(x) =af(x+T)+bf(x)+c. The results generalize the existing conclusions.
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