Polynomial solutions of nonlinear integral equations
arXiv:0803.1846 · doi:10.1088/1751-8113/42/20/205201
Abstract
We analyze the polynomial solutions of a nonlinear integral equation, generalizing the work of C. Bender and E. Ben-Naim. We show that, in some cases, an orthogonal solution exists and we give its general form in terms of kernel polynomials.
10 pages