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Orthogonal polynomials for exponential weights on , II

✍ Scribed by Eli Levin; Doron Lubinsky

Book ID
108158983
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
358 KB
Volume
139
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Bounds for orthogonal polynomials for ex
Bounds for orthogonal polynomials for exponential weights
✍ A.L. Levin; D.S. Lubinsky πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 801 KB

Orthogonal polynomials pn(W2,x) for exponential weights W 2 =e -2Q on a finite or infinite interval I, have been intensively studied in recent years. We discuss efforts of the authors to extend and unify some of the theory; our deepest result is the bound Ip,(m2,x)lm(x)l(x -a\_,)(x-a,,)l TM <~ c, xE

Zeros and logarithmic asymptotics of Sob
Zeros and logarithmic asymptotics of Sobolev orthogonal polynomials for exponential weights
✍ C. DΓ­az Mendoza; R. Orive; H. Pijeira Cabrera πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 502 KB

We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x Ξ³ e -Ο•(x) , with Ξ³ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when Ο• has a polyn