On meromorphic solution of linear difference-differential equation via partially shared values of meromorphic functions and its growth

Abstract

In this paper, we investigate shared value problems related to a meromorphic function of hyper order less than one and its linear differencedifferential polynomial. In general, under certain conditions of sharing values of the meromorphic functions and their difference-differential polynomial, a given meromorphic function must satisfy a difference-differential equation. Furthermore, we also study the order of meromorphic solutions of some classes of difference-differential equations.