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Asymptotics for thenth-degree Laguerre polynomial evaluated atn

✍ Scribed by Arpad Elbert; Andrea Laforgia; Lucia G. Rodono


Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
307 KB
Volume
63
Category
Article
ISSN
0029-599X

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An asymptotic result for Laguerre-Sobole
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Let {S,} denote the sequence of polynomials orthogonal with respect to the Sobolev inner product fo +°° f+°c :,. x . ,.x--%-X dx (f.g)s = f(x)o(x)x%-Xdx + 2 J ~ )9( )x . ## JO where ~ > -1, 2 > 0 and the leading coefficient of the S~ is equal to the leading coefficient of the Laguerre polynomial