NEW SUBCLASS OF UNIVALENT FUNCTIONS DEFINED BY USING GENERALIZED SALAGEAN OPERATOR

Coefficient Estimates for a Subclass of Bi-univalent Functions Defined by Salagean Operator Using Quasi Subordination

In this present investigation, we consider the subclass of analytic and bi-univalent functions associated with salagean operator consisting of the function class Σ in the unit open disk, which satisfies the qusi-subordination conditions. Also we obtain the first two Taylor-Maclaurin coefficients for functions in this new subclass. Mathematics Subject Classification: 30C45, 30C50

A Subclass of Harmonic Univalent Functions with Varying Arguments Defined by Generalized Derivative Operator

where h and g are analytic in D. We call h the analytic part and g the coanalytic part of f . A necessary and sufficient condition for f to be locally univalent and sense preserving in D is that |h z | > |g z | for all z in D see 1 . Let H be the class of functions of the form 1.1 that are harmonic univalent and sense preserving in the unit disk U {z : |z| < 1} for which f 0 fz 0 − 1 0. Then fo...

On a Subclass of Univalent Functions Defined by a Generalized Differential Operator

n=2 anz n which are analytic in the open unit disk U := {z ∈ C : |z| < 1}. By S and C we denote the subclasses of functions in A which are univalent and convex in U, respectively. Let P be the well-known Carathéodory class of normalized functions with positive real part in U and let P(λ), 0 ≤ λ < 1 be the subclass of P consisting of functions with real part greater than λ. The Hadamard product ...

On univalent functions defined by a generalized Sălăgean operator

On a New Subclass of Harmonic Univalent Functions Defined by Fractional Calculus Operator

The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, convex combinations and neighborhoods for a new class of harmonic univalent functions in the open unit disc. We also discuss a class preserving integral operator. Relevant connections of the results presented here with various known results are briefly ...