The orthogonality of the generalized Laguerre polynomials, [L (:) n (x)] n 0 , is a well known fact when the parameter : is a real number but not a negative integer. In fact, for &1<:, they are orthogonal on the interval [0, + ) with respect to the weight function \(x)=x : e &x , and for :<&1, but n
✦ LIBER ✦
Some properties of the Sobolev-Laguerre polynomials
✍ Scribed by Jet Wimp; Harry Kiesel
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 417 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we study the case ~--0 of the Sobolev-Laguerre polynomials. We determine a generating the polynomials and an expansion formula @ 1998 Elsevier Science B.V. All rights reserved.
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