ABSTRACT
The generalized Laguerre polynomials, { L n ( α ) ( x ) } n ≥ 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq3646.tif"/> , for any value of the parameter α, are orthogonal with respect to some inner product involving derivatives, that is, a Sobolev inner product. This property was proved in a previous paper. In this paper, we use the Sobolev orthogonality to recover properties about the generalized Laguerre polynomials. For instance, we can obtain relations with the classical Laguerre polynomials and localization properties for the zeros of the generalized Laguerre polynomials.
AMS Subject Classification (1991): 33 C 45
