Semi-classical Laguerre polynomials and a third order discrete integrable equation
نویسندگان
چکیده
The connection between semi-classical orthogonal polynomials and discrete integrable systems is well established. The earliest example of a discrete integrable system in semi-classical orthogonal polynomials can be attributed first to Shohat in 1939 [16], then second by Freud [10] in 1976. However it wasn’t until the 1990’s, when the focus within integrable systems shifted from continuous to discrete, that Fokas, Its, Kitaev, [6] gave this equation a name; discrete Painlevé I, (d-PI).
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