Real orthogonalizing weights for Bessel polynomials
β 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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π SIMILAR VOLUMES
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
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