For K a valued subfield of Cp with respect to the restriction of the p-adic absolute value êê of Cp we consider the K-algebra IK[[X]] of integral (entire) functions with coefficients in K. If K is a closed subfield of Cp we extend some results which are known for subfields of C (see [3] and [4]). We prove that IK[[X]] is a Bezout domain and we describe some properties of maximal ideals of IK[[X]].