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,