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.

Keywords: Kekre�s function, Laplace transforms, generalized representation, linearity property