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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]

By applying a fractional q-calculus operator, we define the subclasses Snα(γ, β, b, q)and Gnα(γ, β, b, q) of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity, extreme points, and growth and distortion theorems. [ABSTRACT FROM AUTHOR]