In this paper, we study the shared-value problem of forward differences 2c
f (z) and c f (z) of a
meromorphic function f (z). For an entire function f (z) with a Borel exceptional small function, we give the specific
expression of f (z) when 2c
f (z) and c f (z) share a small function CM. For a meromorphic function f (z) with a small
deficient function, we obtain the relationship of 2c
f (z) and c f (z) when they share a small function and1CM.
Keywords
difference operators, meromorphic function, sharing value MSC2010: 30D35 39A10