The inversion of an integral equation involving a general class of polynomials
The object of the paper is to derive the solution of a certain convolution integral equation of Fredholm type whose kernel involves a generalization of numerous polynomial systems including, for example, the classical Hermite, Laguerre, and Bessel polynomials, and the Konhauser biorthogonal polynomials. Some interesting applications of the main inversion theorem are also mentioned. One of these applications is shown to lead to the correct solutions of certain integral equations which were considered recently.
convolution integral equation of Fredholm type
Hermite, Laguerre, and Bessel polynomials
scientific article; zbMATH DE number 663703