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 ... of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szegő functional given by ... Relevant connections of the results presented in this paper with those derived in earlier works are also considered. [ABSTRACT FROM AUTHOR]