DISCRETE FOURIER TRANSFORMS AND MODIFIED SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS
R. A. MALEKAR *
National Defence Academy, Khadakwasala, Pune-411023, India.
MANUEL MALAVER
Department of Basic Sciences, Maritime University of the Caribbean, Catia la Mar, Venezuela
*Author to whom correspondence should be addressed.
Abstract
The eigenvectors of the discrete Fourier transform are expressed as a linear combination of the solutions to a modified second order linear ordinary dierential equation. This method of generating eigenvectors of the discrete Fourier transform is illustrated in particular as a linear combination of extended modiifed Bessel function and extended modied Legendre polynomial.
Keywords: Discrete fourier transform, modified second order linear ordinary differential equation, extended modified bessel function, extended modified legendre polynomial