Research
Laplace Transform of Fourier Series Functions of a Period P = 2π
The authors establish a set of presumably new results, Which transform a periodic functions of period p = 2ð…ð… to new functions. So in this paper, the authors tries to evaluate Laplace transform of the discontinuous and periodic function that involves in some applications of non-homogeneous differential equations in Physics, electrical engineering, and other many disciplines. Hence, such type of functions expands to a Fourier series, which represent complicated and discontinuous regarding of simpler continuous and periodic functions of cosines and sines.
Fourier Transform of Power Series
The authors establish a set of presumably new results, which provide Fourier transform of power series. So in this paper the author try to evaluate Fourier transform of some challenging functions by expressing them as a sum of infinitely terms. Hence, the method is useful to find the Fourier transform of functions that difficult to obtain their Fourier transform by ordinary method or using definition of Fourier transformations.
