A Class of Integral Operators that Fix Exponential Functions

Sandwich-type theorems for a class of integral operators with special properties

In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

Classes of admissible functions associated with certain integral operators applied to meromorphic functions

‎In the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of Miller and Mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎Additionally‎, ‎differential sandwich-type result is obtained‎.

A class of integral operators preserving subordination and superordination for meromorphic functions

We denote by A the subclass of H a, 1 with the usual normalization f 0 f ′ 0 − 1 0, and denote by A the subclass ofA satisfying the condition h z h′ z / 0 for z ∈ U \ {0}. Let f and F be members of H. The function f is said to be subordinate to F, or F is said to be superordinate to f, if there exists a functionw analytic in Uwithw 0 0 and |w z | < 1 for z ∈ U and such that f z g w z z ∈ U . In...

A Class of Integral Operators Generated by Random Variables

Let X be a random variable in Rp distributed symmetrically about zero with cumulants of order 4, 8, 12, . . . equal to zero. This class of random variables includes the multivariate normal. Consider the linear integral operator KX defined by KX g(x) = E [g(x+X)] = ∫ g(x + y) dP (X ≤ y) acting on the space of functions g : Cp → Cq with Taylor series expansions about zero. By Fredholm theory, non...

EXPONENTIAL MAP OF A CLASS OF TOP SPACES