Solution of EPD by Fourier Transform Method

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Joy Mutegi, Iyaya Wanjala, Isaac Chepkwony

Abstract

We solve the Euler-Poisson-Darboux (EPD) equation using the Fourier transform method. The inverse Fourier transform is found using a convolution with the Heaviside step function in order to obtain the solution. We then extend our results into a generalized hypergeometric form and we also discuss the differentiability of the solution.

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