Is this a valid description of the Riemann Zeta function?

Question

Where a and x are real numbers $$\zeta(a-ix)=2^{a-ix}*\pi*\gamma(1-a+ix)*\sin(\frac{\pi}2*(a-ix))*\zeta(1-a+ix)$$

I got it from wolfram alfa I just wanted to make sure it was valid.For all values of a and x.

fixed $$ζ(s)=2^{s}π^{s−1}*sin(\frac{πs}2) Γ(1−s) ζ(1−s)$$

Answer 1

According to a number of people in the comments, as well as at a number of links

mathworld.wolfram.com/RiemannZetaFunction.html

wolframalpha.com/input/?i=zeta(a-ix)

$$ζ(s)=2^{s}π^{s−1}*sin(\frac{πs}2) Γ(1−s) ζ(1−s)$$ Where s is a complex number. Is a valid description of the Riemann Zeta function.