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Hausdorff's moment problem and expansions in Legendre polynomials

✍ Scribed by R Askey; I.J Schoenberg; A Sharma


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
264 KB
Volume
86
Category
Article
ISSN
0022-247X

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Para-orthogonal Laurent polynomials and
✍ Catherine M. Bonan-Hamada; William B. Jones πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 113 KB

On the space, A of Laurent polynomials we consider a linear functional L which is positive deÿnite on (0; ∞) and is deÿned in terms of a given bisequence, {c k } ∞ k=-∞ . For each ! ¿ 0, we deÿne a sequence {Nn(z; !)} ∞ n=0 of rational functions in terms of two sequences of orthogonal Laurent polyno