All asymptotic expansions of solutions to the equation P6 are obtained from base ones
By means of two symmetries of the equation P6 from base expansions of solutions in the case a· b ≠ 0 (Preprint No 62 of the Keldysh Institute of Applied Mathematics of RAS, 2007) we obtain
all other expansions of solutions near singular points of equation x=0 and x=∞ existed in this case. Asymptotic expansions of solutions to the equation P6 near its singular point x=1
computed by means its third symmetry from expansions of solutions near other its singular point x=0.
Mathematical problems and theory of numerical methods