Growth and fixed points of solutions for second-order linear differential equations in the unit disc

Growth of solutions for second-order differential equations in the unit disc is investigated through some limit form with a comparison of coefficients’ characteristic functions．Some sufficient conditions are given for every non-zero solution to be of infinite order when coefficients of the equations are admissible．Moreover, a general conclusion is drawn on the fixed points in the solutions．The above results extend upon those of Heittokangas and Cao Tingbin．