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Laplace Transforms to Kekre’s functions

Abstract

In this paper, the Kekre’s function is represented in mathematical concept. The Laplace transforms is applied to Kekre’s function and the results are obtained. The graphical representation is shown by MATLAB also to show the Kekre’s function. A generalized representation of Kekre’s function is shown in this paper. To all the assigned order N, of the Kekre’s functions, the solutions are displayed for each example. Linearity property using Laplace transforms when applied to Kekre’s function, is proved in the form of a theorem. For any positive arbitrary value, the transform of Kekre function is obtained and also shown how Kekre’s function is related to inverse Laplace transforms. At the end of examples, the generalized representation of the Laplace transforms of Kekre’s function is formulated.

H. B. Kekre, V. R. Lakshmi Gorty

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