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In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z ∈ C: |z| ＜ 1} in C by Фn(f)(z)=(f(z1),√f'(z1)z0),where z = (z1,z0) belongs to the unit ball Bn i