设f(x)以2π为周期,其傅里叶级数系数为an,bn,则f(x+h)的的傅里叶级数系数为多少?(h为常数)

问题描述:

设f(x)以2π为周期,其傅里叶级数系数为an,bn,则f(x+h)的的傅里叶级数系数为多少?(h为常数)

我是按f(x+h)=级数【ancosn(x+h)+bnsin(x+h)展开求的
an'=ancos(nh)+bnsin(nh)
bn'=bncos(nh)-ansin(nh)