The Logarithmic Coefficients of\ \lambda-Bazilievi\checkc Functions of Type\ \alpha and Order\ \beta

Estimation of \left|\left(g(z)/f(z)\right)^\alpha\right| is given by using subordination. Using the method of construction a non-negative function and estimation the integration of model of a complex function, the logarithm coefficient b_n of \ \lambda-Bazilevi\checkc Functions of Type\ \alpha and Order\ \beta is studied. The estimate ~|b_n|\leq A\mathrmlogn/n+B/n+32\beta/(1-|1-2\beta|) is given, where A,B are absolute constants.