International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 301-314
doi:10.1155/S016117129400044X

On a generalization of Hankel kernel

C. Nasim and B.D. Aggarwala

Department of Mathematics and Statistics, University of Calgary, Alberta, Calgary T2N 1N4, Canada

Abstract

We consider an expression involving the Bessel function, the Neumann function and the MacDonald function and discover various combinations of these functions which are Fourier kernels or conjugate Fourier kernels. Also a large number of integration formulae are established involving these kernels.