A Riemann hypothesis analog for the Krawtchouk and discrete Chebyshev polynomials

As an analog to the Riemann hypothesis, we prove that the real parts of all complex zeros of the Krawtchouk polynomials, as well as of the discrete Chebyshev polynomials, of order $N=-1$ are equal to $-\frac{1}{2}$. For these polynomials, we also derive a functional equation analogous to that for the Riemann zeta function.