On \(n\)-fold convolution integral equations (Q2716732)

The authors solve a general \(n\)-fold convolution integral equation whose kernel involves the product of a general class of multivariable polynomials and the multivariable \(H\)-function. On account of the general nature of the kernel involved herein on giving different values to \(n\), they can obtain from it solutions of a large number of single, double and multiple convolution integral equations involving simpler polynomials and functions of one or more variables. They also obtain solutions of four \(n\)-fold convolution integral equations as special cases of their main result.