We present the alternative way of derivation of the Wandzura-Wilczek relati
ons between the kinematical twist-3 and twist-2 functions, parameterizing h
adronic matrix element in two-photon processes gamma*pi --> gamma pi and ga
mma*gamma --> pi pi. The new equations, providing the independence of the p
hysical cross-sections on the choice of the light-cone direction, are sugge
sted and explored. The amplitude of gamma*gamma --> pi pi up to genuine twi
st-3 accuracy is found. (C) 2001 Published by Elsevier Science B.V.