Meromorphic Functions that Share Small Functions

For a meromorphic function f, let S(f) denote the set of all meromorphic functions a(z) in |z| <∞ which satisfy T( r, α) = α(T(r,f)) as r ->∞. Then every a(z) ε S (f) is called a small function. Further f and g are said to share a if and only if {z| f{z) = a (z)} ={ z| g (z) -a [z]}. Recently N.Toda proved that if f and g share seven small functons then f ≡ g. In this paper we study the comparative growth of meromophic functions that share fewer than seven small functions and also the maximum number of small functions a given entire function can share with its derivative.