Two Entire Functions Sharing One Small Function CM and Two Other Small Functions IM1

In this paper, we prove a result that if two entire functions share one small function CM and two other small functions IM, then f is a quasi-M¨obius transformation of g, which generalizes G.G.Gundersen’s 2CM + 2IM Theorem (see G.G.Gundersen, Trans. Am. Math. Soc. 277 (1983), 545–567, and G.G.Gundersen, Trans. Am. Math. Soc. 304 (1987), 847–850) from sharing values to sharing small functions, in the case where both f and g are entire functions