Roberto Paoletti
Published 2016-12-15Version 1
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 $[-1,1]$.
Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type
Coupling of the Legendre polynomials with kernels $|x-y|^α$ and $\ln|x-y|$
A simple derivation of the integrals of products of Legendre polynomials with logarithmic weight
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