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