Abstract
ABSTRACTIn this paper, we continue the work started in [Manu. Extension operators preserving Janowski classes of univalent functions. submitted; 2019] and we shall prove that the Muir extension operator preserves the notion of g-parametric representation, where the function g is given by and . As a consequence, the extension operator preserves the notions of Janowski starlikeness on and Janowski almost starlikeness on . Other particular cases will be mentioned. In the last part of the paper we obtain sharp growth and distortion theorems for some classes of biholomorphic mappings on generated by the extension operator .
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