We present a geometric approach to the asymptotics of the Legendre polynomials P-k,P-n+1, based on the Szego kernel of the Fermat quadric hypersurface, leading to complete asymptotic expansions holding on expanding subintervals of [-1, 1]
Paoletti, R. (2017). Szegö Kernels and Asymptotic Expansions for Legendre Polynomials. JOURNAL OF COMPLEX ANALYSIS, 2017 [10.1155/2017/7823545].
Szegö Kernels and Asymptotic Expansions for Legendre Polynomials
Paoletti, R.
2017
Abstract
We present a geometric approach to the asymptotics of the Legendre polynomials P-k,P-n+1, based on the Szego kernel of the Fermat quadric hypersurface, leading to complete asymptotic expansions holding on expanding subintervals of [-1, 1]File in questo prodotto:
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