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]
Articolo in rivista - Articolo scientifico
Legendre polynomials, Szeg\"{o} kernel, Fermat quadric hypersurface
English
2017
2017
7823545
open
Paoletti, R. (2017). Szegö Kernels and Asymptotic Expansions for Legendre Polynomials. JOURNAL OF COMPLEX ANALYSIS, 2017 [10.1155/2017/7823545].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/176730
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