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 [4] 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 [7] (also see [8-11]) introduced the

integral operatorFinally, we proceed by establishing some facts concerning the linear Volterra

integral operator in [W.sup.1,1.sub.loc].

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,