A new analytical solution for the distance modulus in flat cosmology
  A new analytical solution for the luminosity distance in flat $\Lambda$CDM
cosmology is derived in terms of elliptical integrals of first kind with real
argument. The consequent derivation of the distance modulus allows evaluating
the Hubble constant, $H_0=69.77\pm 0.33$, $\om= 0.295\pm0.008$ and the
cosmological constant, $\Lambda= (1.194 \pm 0.017)10^{-52} \frac{1}{m^2}$.
