Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator

A new class of analytic functions involving a linear integral operator 1

Using the linear operator Iλ, μ (λ > −1, μ > 0), we introduce and study a new class Q(λ, μ, α, φ) of analytic functions. We derive inclusion relationship and integral representation. We also show that this class is closed under convolution with a convex function. Some applications of this theorem are also discussed. 2000 Mathematics Subject Classification: 30C45, 30C50.

Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Linear Operator

which are analytic in the open unit disk U {z ∈ C : |z| < 1}. If f and g are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ g z if there exists an analytic function w in U with w 0 0 and |w z | < 1 for z ∈ U such that f z g w z . We denote by S∗, K, and C the subclasses of A consisting of all analytic functions which are, respectively, starlike, convex, and close-to-co...

New Classes of Analytic Functions Involving Generalized Noor Integral Operator

Coefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function

We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.

Differential sandwich theorems for some subclasses of analytic functions associated with linear operator

Let q1 and q2 be univalent in ∆ := {z : |z| < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f(0) = 0 , f ′(0) = 1 to satisfy q1(z) ≺ zf ′(z) f(z) λ ≺ q2(z).