Abstract
This work examines a new subclass of generalized bi-subordinate functions of complex order ? connected to the q-difference operator. We obtain the upper bounds ?m for generalized bi-subordinate functions of complex order ? using the Faber polynomial expansion technique. Additionally, we find coefficient bounds |?(2)| and Feke-Sezgo problems |?(3)-?2/2| for the functions in the newly defined class, subject to gap series conditions. Using the Faber polynomial expansion method, we show some results that illustrate diverse uses of the Ruschewey q differential operator. The findings in this paper generalize those from previous efforts by a number of prior researchers.