Abstract:This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation $$ f^{^{\prime \prime }}+A_{1}(z) f^{^{\prime }} + A_{0}(z) f=F, $$ where $A_{1}(z)$, $A_{0}(z)$ $(\not\equiv 0)$, $F$ are meromorphic functions of finite iterated $p$-order.
Keywords: linear differential equations, differential polynomials, meromorphic solutions, iterated order, iterated exponent of convergence of the sequence of distinct zeros
AMS Subject Classification: 34M10 30D35