By applying a fractional q-calculus operator, we define the subclasses Sn . ;ˇ; b; q/ and Gn . ;ˇ; 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. The aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close -to -convexity, starlikeness and convexity for functions belonging to the subclass TS\ (n,a,β) of uniformly convex functions with negative coefficients. We also derive many results for the modified Hadamard products of functions belonging to the class TS\ (n,a, β), and obtain several interesting distortion theorems for certain fractional operators of functions in this class. Finally, we consider integral operators associated with functions in this class.
The aim of this paper is to obtain the modified Hadamard products and properties associated with generalized fractional calculus operators for functions belonging to the class T S γ (f, g; α, β) of β-uniformly univalent functions defined by convolution.
Abstract. In this paper, the class Σ λ (α, β, γ) of univalent meromorphic functions defined using the Ruscheweyh derivative in the punctured unit disk U * is introduced. We study some results concerning the partial sums of meromorphic univalent starlike functions and meromorphic univalent convex functions.
The purpose of this paper is to prove differential inequalities for
meromorphic univalent functions by using a new operator associated with the
Mittag-Leffler function.
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