In this paper we will study the integral operator involving Bessel functions of the first kind and of order v.We will investigate the integral operator for the classes of starlike and convex functions in the open unit disk.

In this paper, we define a new subclass Ao(A, B) of univalent functions and investigate several interesting characterization theorems involving a general class S" [A, B] of starlike functions

By using functions of bounded variation we generalize the class of strongly starlike functions and related classes. The main object is to obtain characterizations and inclusion properties of these classes of functions.

In 1999, for (0≤k<∞), the concept of conic domain by defining k-uniform convex functions were introduced Kanas and Wisniowska then in 2000, they defined related k-starlike denoted k−UCV k−ST respectively. Motivated their studies, our work, we define class k-parabolic starlike functions, k−SHm,q, using quasi-subordination m-fold symmetric analytic making use Ωk. We determine coefficient bound...

In the present paper certain subclasses of strongly starlike and strongly convex functions defined by convolution with the generalized Hurwitz -Lerch Zeta function are investigated. Some inclusion relations are also mentioned as special cases of our main results.

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.