Classical multiple orthogonal polynomials of Angelesco system
β Scribed by D.W. Lee
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 182 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0168-9274
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π SIMILAR VOLUMES
We prove that if both [P n (x)] n=0 and [{ r P n (x)] n=r are orthogonal polynomials for any fixed integer r 1, then [P n (x)] n=0 must be discrete classical orthogonal polynomials. This result is a discrete version of the classical Hahn's theorem stating that if both [P n (x)] n=0 and [(dΓdx) r P n
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