SOME PROPERTIES OF ANALYTIC FUNCTIONS ASSOCIATED WITH FRACTIONAL q-CALCULUS OPERATORS

摘要

By applying a fractional q-calculus operator, we define the subclasses S-n(alpha) (lambda, beta, b, q) and G(n)(alpha) (lambda, beta, 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.