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is a Fejer gap series if ,̂ l /^<oo. We say that an entire k=l function /(z) = ^ c^z" has Fejer gaps if S(/) = {n > 1 \c^ ^ 0} n=0 is a Fejer gap series. There is a classical result by Fejer [4] and Biemacki [ 1 J : An entire function with Fejer gaps takes any complex value infinitely often. It is one of the themes of gap series to extend or improve this result. We are concerned with extending this result from the point of view of the Nevanlinna theory. The purpose of this paper is to show:

The deficiency of entire functions with Fejér gaps