Let [formula] be a function defned by power series with complex coefficients and convergent on the open disk D (0, R) C, R > 0. In this paper we show amongst other that, if α, z C are such that |α|, |α||z| < R, then [formula] where [formula]. Aplications for some fundamental functions defined by power series are also provided. be a function defned by power series with complex coefficients and convergent on the open disk D(0, R) C, R > 0. In this paper we show amongst other that, if α, z C are such that |α|, |α||z| < R, then [formula] where Applications for some fundamental functions defined by power series are also provided.
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