Polynomial solutions of nonlinear integral equations

Details Polynomial solutions of nonlinear integral equations Polynomial solutions of nonlinear integral equations

2008-03-12

arxiv.org/abs/0803.1846v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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.

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