THE SECOND HANKEL DETERMINANT AND THE FEKETE-SZEGO FUNCTIONAL FOR A SUBCLASS OF ANALYTIC FUNCTIONS BY USING Q-AL-OBOUDI DIFFERENTIAL OPERATOR

FEKETE-SZEGO FUNCTIONAL

Resumen

By generalizing the q-difference operator, the researchers in this paperdevelop a new family of analytic functions in the open uinit disk A. Our research
provided a fundamental insight of how these functions behave. Sharp iequalities for the initial Taylor coefficients are established. For all functions in this class, we give a second order Hankel determinant and optimal estimates for solving the Feketo-Szego problem. There are indications of pertinent connections between the results of this study and those from previous research.