Denote by T = A + B the integral operator
of equation (1.1) with operators A and B defined by
Then [S.sub.[r]] is an integral operator
with kernel ([SK.sub.z]) (w) [[chi].sub.r[DELTA]] (z).
Generalized Fractional Integral Operator
. Now, we recall the definition of generalized fractional integral operators
involving Fox's H-function as kernel, defined by Saxena and Kumbhat  means of the following equations:
Ibrahim, "On classes of analytic functions containing generalization of integral operator
," Journal of the Indonesian Mathematical Society, vol.
In 2007, by involving the general Hurwitz-Lerch Zeta function [PHI](z, s, a), Srivastava and Attiya  (also see [8-11]) introduced the integral operator
Finally, we proceed by establishing some facts concerning the linear Volterra integral operator
The generalized dressing method was based on the problems of factorization of an integral operator
F on the line into the product of two Volterra type integral operators
[K.sub.[+ or -]], from which the Gel'f and-Levitan-Marchenko (GLM) equation is obtained.
(1) An intuitionistic trapezoidal fuzzy aggregation Choquet integral operator
is proposed to eliminate the interdependence between attributes.
Later, the intensive investigations on the results of Liouville by Riemann led to the construction of the Riemann-Liouville fractional integral operator
, given by
In Section 3 we show how the involved integral operator
can be described using a tensor product formulation.
The main purpose of this current note is to introduce a Hypergeometric distribution series in associated with integral operator
and obtain necessary and sufficient conditions for this integral related series belonging to the classes and T ( , ) and C( , ) .
Suppose that T is a Calderon-Zygmund singular integral operator
. Is there a constant c, depending only on T, such that for each [lambda] > 0,