  The notion of nearly abelian rational semigroup was introduced by Hinkannen
and Martin. In this paper, we have introduced the notion of nearly abelian
transcendental semigroup. We have extended the results of nearly abelian
rational semigroups to the best possible class of nearly abelian transcendental
semigroups. We have given a class of functions which nearly permute with a
given transcendental entire function. In addition, a relation between the
postsingular set of composition of two entire functions with that of individual
functions is obtained.
