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arXiv · 1510.00406

Notes on the q-Analogues of the Natural Transforms and Some Further Applications

S. K. Q. Al-Omari·A. Kilicman
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Abstract

As an extension to the Laplace and Sumudu transforms the classical Natural transform was proposed to solve certain fluid flow problems. In this paper, we investigate q-analogues of the q-Natural transform of some special functions. We derive the q-analogues of the q-integral transform and further apply to some general special functions such as : the exponential functions, the q-trigonometric functions, the q-hyperbolic functions and the Heaviside Function. Some further results involving convolutions and differentiations are also obtained.

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BibTeXRIS

S. K. Q. Al-Omari, A. Kilicman. 2015-09-28. Notes on the q-Analogues of the Natural Transforms and Some Further Applications. https://arxiv.org/abs/1510.00406

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