Differential Sandwich Theorems for Some Subclass of Analytic Functions Associated with Linear Operators

" PDF file" DOI : http://dx.doi.org/10.22342/jims.13.1.73.39-5

Study on properties of an analytic function involving a generalised derivative operator

In this paper, we study a new subclass of analytic functions defined by a derivative operator. Coefficient bounds, extreme point and integral transform are investigated

On differential sandwich theorems of analytic functions defined by certain linear operator

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results

Coefficient Bounds and Fekete-Szeg¨o inequality for a Certain Families of Bi-Prestarlike Functions Defined by (M,N)-Lucas Polynomials

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new families of holomorphic and bi-Prestarlike functions defined in the unit disk O and establish upper bounds for the second and third coefficients of the Taylor-Maclaurin series expansions of functions belonging to these families. Also, we debate Fekete-Szeg¨o problem for thesefamilies. Further, we point out several certain special cases for our results

The Fekete–Szegö problem for a class of analytic functions defined by Carlson–Shaffer operator

In the present investigation we solve Fekete-Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions. In the present investigation we solve Fekete-Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions