  A new formula for the pion form factor F_pi is proposed which takes into
account the pseudoscalar meson loops and the mixing among rho(770), rho(1450),
and rho(1700). The expression possesses correct analytical properties and can
be used in both timelike and spacelike kinematical regions. The comparison is
made with the existing experimental data on F_pi collected by the detectors
SND, CMD-2, KLOE, and BaBaR restricted to energies below 1 GeV. A good
description of all four data sets is obtained. In the spacelike region, upon
substituting the resonance parameters found in the timelike one, the formula
gives F_pi, in agreement with the measurements of the NA7 Collaboration.
