Szegö kernels and asymptotic expansions for Legendre polynomials

Published 15 Dec 2016 in math.CA and math.CV | (1612.05009v1)

Abstract: We present a geometric approach to the asymptotics of the Legendre polynomials $P_{k,n+1}$, based on the Szeg\"o kernel of the Fermat quadric hypersurface, and leading to complete asymptotic expansions holding on expanding subintervals of $[-1,1]$.

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Authors (1)

Roberto Paoletti

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