International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 397-404
doi:10.1155/S0161171290000606
Solutions of an ordinary differential equation as a class of Fourier kernels
B. Aggarwala
and C. Nasim
Department of Mathematics and Statistics, The University of Calgary, Alberta T2N 1N4, Canada
Abstract
While there are various methods of generating Fourier kernels mentioned in the literature it is not so well recognized that Fourier kernels can be obtained as solutions of differential equations. In this note we define a class of Fourier kernels, which are solutions of a k - fold Bessel equation.