Hello all,

Resolve the functional equation \(\displaystyle f(x^n-i\sqrt2)+f(x^n)+f(x^n+i\sqrt2)=a+bi\) where \(\displaystyle i^2=-1\) , \(\displaystyle n\in \mathbb N\)* and \(\displaystyle a,b\in \mathbb R\).

All the best,

Integrator

Resolve the functional equation \(\displaystyle f(x^n-i\sqrt2)+f(x^n)+f(x^n+i\sqrt2)=a+bi\) where \(\displaystyle i^2=-1\) , \(\displaystyle n\in \mathbb N\)* and \(\displaystyle a,b\in \mathbb R\).

All the best,

Integrator

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