On Uniqueness Polynomials and Bi-URS for p-adic Meromorphic Functions Original Research Article

Let W be an algebraically closed field of characteristic zero, and let K be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. image(K) will denote the ring of entire functions in K and image(K) will denote the field of meromorphic functions in K. In this paper we give some classes of uniqueness polynomials for image(K) and show the existence of a bi-URS for image(K) of the form ({a1, a2, a3, a4}, {ω}). Also a sufficient condition of uniqueness range sets for image(K) in terms of uniqueness polynomials is given.