Authors:
Emad Kuffi,Elaf Sabah Abbas,DOI NO:
https://doi.org/10.26782/jmcms.2019.06.00030Keywords:
Boundary value, changing the measurement theorem,derivative transformation theorem, existence theorem, first transition theore,logarithmi integral transformation,Abstract
In this paper, a new integral transformation is proposed, where the transformation kernel is the natural logarithmic function 𝑙𝑛(∝ 𝑥), ∝> 0, 𝑥 > 0 , the transformation interval is the closed interval ∝ , 1, and the range of its kernel 𝑙𝑛(∝ 𝑥) is the entire set of the real numbers (−∞ < 𝑙𝑛(∝ 𝑥) < ∞). The wide range of the kernel for the proposed transformation giving it a wider usage from the other transformations such as Laplace transformation which its kernel is (𝑒 )and its range includes the natural numbers only ((𝑒) > 0). The proposed integral transformation is called “the logarithmic integral transformation” based on the kernel of the transformation. Some properties and theorems are presented for this new transformation.Refference:
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Emad Kuffi, Elaf Sabah Abbas
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