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A generating function for Laguerre–Sobolev orthogonal polynomials

✍ Scribed by H.G. Meijer; M.A. Piñar

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
155 KB
Volume
120
Category
Article
ISSN
0021-9045

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✦ Synopsis

Let fS n g denote the sequence of polynomials orthogonal with respect to the Sobolev inner product ðf ; gÞ S ¼

where a4 À 1; l40 and the leading coefficient of the S n is equal to the leading coefficient of the Laguerre polynomial L ðaÞ n : In this work, a generating function for the Sobolev-Laguerre polynomials is obtained.

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