ON CERTAIN OPERATOR FAMILIES RELATED TO COSINE OPERATOR FUNCTIONS

Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

Computation of Functions of Certain Operator Matrices

This note gives a simple method to compute the entries of holomorphic functions of a 2× 2 block or operator matrix which can be written as a product. To illustrate this method, the entries are given for the exponential, fractional powers and inverse of such operator matrices. If H and K are Hilbert spaces, we denote the space of bounded linear operators from H to K by L(H,K). Our main result is...

Certain Integral Operator and Strongly Starlike Functions

On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator

In this paper we obtain coefficient characterization‎, ‎extreme points and‎ ‎distortion bounds for the classes of harmonic $p-$valent functions‎ ‎defined by certain modified operator‎. ‎Some of our results improve‎ ‎and generalize previously known results‎.

On Certain Class of Analytic Functions Related to Cho-Kwon-Srivastava Operator