International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 2, Pages 257-262

Dual integral equations with Fox's H-function kernel

R. N. Kalia

Department of Mathematics, Southwest State University, Marshall 56258, Minnesota, USA

Received 20 July 1983

Copyright © 1984 R. N. Kalia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The dual integral equations involving Bessel function kernels were first considered by Weber in 1873. The problem comprised of finding potential of an electrified disc which belongs to a general category of mixed boundary value problems. Titchmarsh gave the formal solution using Wiener-Hopf procedure. We use this direct method as improvised by Busbridge to solve a class of dual integral equations which can be reduced to other known kernels by particularizing the parameters in the Fox's H-function.