Uniqueness problem for differential polynomials of fermat-waring type

Abstract

In this paper, we discuss the uniqueness problem for differential polynomials (P n(f))(k) , (Qn(g))(k) sharing the same values, where P = f d + a1f d−m + b1f d−m+1 + c1 and Q = g d + a2g d−m + b2g d−m+1 + c2 are polynomials of Fermat-Waring type. On non-Archimedian field, f and g are meromorphic functions.