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arxiv: 1604.04682 · v4 · pith:XMURP4AQnew · submitted 2016-04-16 · 🧮 math.CA

A note on Dickson polynomials of the third kind and Legendre functions

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keywords dicksonfunctionskindlegendrepolynomialsthirdcontainsdifferential
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In this paper, we show that the Dickson polynomials of the third kind satisfy a nonhomogeneous second order linear ordinary differential equation whose general solution contains Legendre functions.

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