Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain

On Janowski Starlike Functions

On Harmonic Uniformly Starlike Functions Defined by an Integral Operator

Using the integral operator, we define and study a generalized family of complex-valued harmonic functions that are univalent, sense-preserving and are associated with uniformly harmonic functions in the unit disk. We obtain coefficient inequalities, extreme points and distortion bounds for the functions in our class. The results obtained for the our class reduce to the corresponding results fo...

Neighbourhoods and Partial Sums of Starlike Functions Based on Ruscheweyh Derivatives

In this paper a new class S p (α, β) of starlike functions is introduced. A subclass TS p (α, β) of S λ p (α, β) with negative coefficients is also considered. These classes are based on Ruscheweyh derivatives. Certain neighbourhood results are obtained. Partial sums fn(z) of functions f(z) in these classes are considered and sharp lower bounds for the ratios of real part of f(z) to fn(z) and f...

Univalent Functions Defined by Ruscheweyh Derivatives

We study some radii problems concerning the integral operator z F(z)y+l uY-I f(u) du zy o for certain classes, namely K and M (a), of univalent functions defined by Ruscheweyh n n derivatives. Infact, we obtain the converse of Ruscheweyh’s result and improve a result of Goel and Sohi for complex by a different technique. The results are sharp.

On a Subclass of Multivalent β-Uniformly Starlike and Convex Functions defined by a Linear Operator

AbstractIn this paper we introduce the subclass K(μ, γ, η, α, β) of β-uniformly convex and β-uniformly starlike functions which are analytic and multivalent with negative coefficients defined by using fractional calculus operators. Characterization property exhibited by the functions in the class and the results of modified Hadamard product are discussed. Connections with the popular subclasses...