Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.

Abstract

Line 1 i open parenthesis f closing parenthesis= open brace sub plus infinity comma to the power of minimum to the power of 0 comma open brace j in N: rho sub j open parenthesis f closing parenthesis less plus infinity closing brace comma rho sub j open parenthesis f closing parenthesis less from all j in N period to when to the power of for f from there to for f transcendental from exists to a sub rho sub j open parenthesis f closing parenthesis j= to the power of in N plus infinity to the power of with for to the power of polynomial comma to the power of for which sub plus infinity open parenthesis 1 period 2 closing parenthesis Line 2 hline 2000 Mathematics Subject Classification period 34 M 10 comma 30 D 35 period