On g-Transformation

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Yusra Gatea Abbood AL-Ameri
Methaq Hamza Geem

Abstract

In this paper, we introduce a new integral transformation, say g-transformation and is defined as follows:


                     


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.

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How to Cite
[1]
Y. G. A. AL-Ameri and M. H. . Geem, “On g-Transformation”, JUBPAS, vol. 29, no. 2, pp. 107–118, Jul. 2021.
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