Sharing complex small functions

Small functions were defined in complex analysis together with the notions of order of growth and type of growth. Here we consider certain entire functions [Formula: see text], [Formula: see text] such that the logarithm of the maximum modulus is almost equivalent to the Nevanlinna characteristic and we construct an example where this equivalence is an equality. We show that if [Formula: see text] and [Formula: see text] satisfy certain property of equivalence and share 3 small entire functions with respect to [Formula: see text] and [Formula: see text], ignoring multiplicity, then [Formula: see text].