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Real orthogonalizing weights for Bessel polynomials

✍ Scribed by W.D. Evans; W.N. Everitt; K.H. Kwon; L.L. Littlejohn


Book ID
103792637
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
419 KB
Volume
49
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES


Bounds for orthogonal polynomials for ex
✍ 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

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This paper deals with Hermite Pade polynomials in the case where the multiple orthogonality condition is related to semiclassical functionals. The polynomials, introduced in such a way, are a generalization of classical orthogonal polynomials (Jacobi, Laguerre, Hermite, and Bessel polynomials). They