On meromorphic solutions of non?linear differential equations of Tumura–Clunie type

Meromorphic solutions of non-linear differential equations the form f n + P ( z , ) = h are investigated, where ? 2 is an integer, a meromorphic function, and polynomial in its derivatives with small functions as coefficients. In existing literature this equation has been studied case when particular p 1 e ? entire functions. such order either positive integer or equal to infinity. article it assumed that solution linear ? r 0 rational coefficients hence number. Recent results by Liao–Yang–Zhang (2013) Liao (2015) follow special cases main results.