Distributional equation for LaguerreโHah
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A. Branquinho; M.N. Rebocho
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Article
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2009
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Elsevier Science
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English
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Let u be a Hermitian linear functional defined in the linear space of Laurent polynomials and F its corresponding Carathรฉodory function. We establish the equivalence between a Riccati differential equation with polynomial coefficients for F , zAF = BF 2 + CF + D, and a distributional equation for u,