Coefficient Estimates for Certain Classes of Analytic Functions Involving the Extended q-Fractional Operator

In this paper, a new extended q-fractional operator using the convolution of the Al-Oboudi differential operator with the q-fractional integral operator J , q f (z) is introduced.The qfractional integral operator J , q f (z) was recently defined and many new results are yet to be studied.From this extended operator, the coefficient problems involving the second Hankel determinant H 2 2 f (z) and the Fekete-Szeg theorem are solved.