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arxiv: 0803.1846 · v1 · pith:RUNDPMBNnew · submitted 2008-03-12 · 🧮 math.CA · math.FA

Polynomial solutions of nonlinear integral equations

classification 🧮 math.CA math.FA
keywords integralnonlinearpolynomialsolutionsanalyzeben-naimbendercases
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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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