Carlson and Shaffer [B.C. Carlson, D.B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984) 737–745] have introduced a linear operator associated with the Gaussian hypergeometric function which has been generalized by Dziok and Srivastava [J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl....

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.

The Carlson-Shaffer operator L(a, c)f = φ(a, c) ∗ f, where f(z) = z+ a2z + · · · is analytic in the unit disk E = {z : |z| < 1} and φ(a, c; z) is an incomplete beta function, is used to define the class T (a, c). An analytic function f belongs to T (a, c) if L(a, c)f is starlike in E. The object of the present paper is to derive some properties of functions f in the class T (a, c).

Landscape ecology is an emerging branch of science, incorporating a multitude of principles and theories. Landscapes can be loosely defined as ecosystems occurring over an area in a similar form (Forman, 1995). This science includes such aspects as scale, the spatial configuration of the landscape, energy flows within the system, the boundaries, and the heterogeneity within the system (Wiens, 1...

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.