Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order

In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between analytic functions. For the Taylor-Maclaurin coefficients fa k g 1 kDpC1 of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szeg functional given by apC2 a 2 pC1