On g-Transformation
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Published:
Jul 1, 2021
Keywords:
Integral transformations, Differential equations, convolution theorem, Laplace transformation, g- transformations.
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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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[1]
“On g-Transformation”, JUBPAS, vol. 29, no. 2, pp. 107–118, Jul. 2021, Accessed: Feb. 18, 2025. [Online]. Available: https://www.journalofbabylon.com/index.php/JUBPAS/article/view/3643
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This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
[1]
“On g-Transformation”, JUBPAS, vol. 29, no. 2, pp. 107–118, Jul. 2021, Accessed: Feb. 18, 2025. [Online]. Available: https://www.journalofbabylon.com/index.php/JUBPAS/article/view/3643