Bi-univalent functions associated with involution numbers based on Sălăgean-Erdély-Kober operator

In this paper, we propose two new subclasses of bi-univalent functions defined in the open unit disk and denoted by , and relate them to the concept of generalized telephone numbers.These subclasses utilize the Slgean-Erdly-Kober operator.Furthermore, we examine the initial Taylor-Maclaurin coefficients |a 2 | and |a 3 | and derived Fekete-Szeg inequalities for the functions that belongs to these new subclasses.Additionally, we introduce several other new subclasses of based on Slgean-Erdly-Kober operator, which have not been previously explored in connection with telephone numbers.Some corollaries are also presented.