On g-transformation

الملخص EN

In this paper, we introduce a new integral transformation, say g-transformation and is defined as follows: G??(f(X)) = S? ∫∞.

0 ? −? ? ? f(x)dx = F??(?) Which consider generalized of most known integral transformations and also it can be find a new special integral transformations.

We have studied the properties of this transformation.

We have presented the general formula of g-transformation for the derivative of functions in higher orders.

We also clarified the relationship between this transform and some known integral transformations such as the Laplace Transform [3], Carson transformation and Sunudu transformation [5].

We introduce new result of shifting theorem.