MMN-3046
Some properties of analytic functions associated with fractional q-calculus operators
H. M. Srivastava; M. K. Aouf; A. O. Mostafa;Abstract
By applying a fractional $q$-calculus operator, we define the
subclasses $\mathcal{S}_{n}^{\alpha}(\lambda,\beta,b,q)$
and $\mathcal{G}_{n}^{\alpha}(\lambda,\beta,b,q)$ 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.
Vol. 20 (2019), No. 2, pp. 1245-1260
DOI: 10.18514/MMN.2019.3046