Some new integral operators: sufficient conditions for their Univalence

In this paper we define the integral operators with the forms:The operators generalise some integral operators studied by Owa, Pascu and Pescar. The original results contained in the paper give sufficient conditions for the univalence of those integral operators

Symmetry in Functional Equations and Analytic Inequalities II

The field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering [...

On Special Fuzzy Differential Subordinations Using Generalized Sala gean Operator and Ruscheweyh Derivative

: In the present paper we establish several fuzzy differential subordinations regardind the operator RD!,"m , givenby RD!,"m : A # A, RD!,"m f (z) = (1#")Rm f (z)+"D!m f (z), where Rm f (z) denote the Ruscheweyh derivative, D!m f (z) is thegeneralized S !a l!a gean operator and A = { f !H(U), f (z) = z + a2z2 +…, z !U} is the class of normalized analyticfunctions. A certain fuzzy class, denoted by RDmF (!,",# ), of analytic functions in the open unit disc is introduced bymeans of this operator. By making use of the concept of fuzzy differential subordination we will derive various properties and characteristics of the class RDmF (!,",# ). Also, several fuzzy differential subordinations are established regardingthe operator RD!,"m

Other Subordination Results for Fractional Integral Associated with Dziok Srivastava Operator

 In this paper we have discussed differential subordination properties associated with the fractional integral by using Dziok-Srivastava operato

Characteristics of a Subclass of Analytic Functions Introduced by Using a Fractional Integral Operator

We define a new class of analytic functions Dm,n (λ,δ,µ,α,β) on the open unit disc using the fractional integral associated with a linear differential operator and investigate characteristics of this class: extreme points, distortion bounds, radii of close-to-convexity, starlikeness and convexity

Certain Class of Close-to-Convex Univalent Functions

The purpose of this paper was to define a new class of close-to-convex function, denoted by CV(δ,α), which is a subclass of all functions that are univalent in D and have positive coefficients normalized by the conditions f(0)=0,  f′(0)=1, if it satisfies such a condition that is dependent on positive real part. Furthermore, we proved how the power series distribution is essential for determining the sufficient and necessary condition on any function f in class CV(δ,α)