@Article{JCM-12-239, author = {Shi , Ying-Guang}, title = {$(0,1,\cdots,m-2,m)$ Interpolation for the Laguerre Abscissas}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {3}, pages = {239--247}, abstract = {

A necessary and sufficient condition of regularity of $(0,1,\cdots,m-2,m)$ interpolation on the zeros of Laguerre polynomials $L^{(α)}_n(x) (α≥-1)$ in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given. Moreover, it is shown that, if the problem of $(0,1,\cdots,m-2,m)$ interpolation has an infinity of solutions, then the general form of the solutions is $f_0(x)+Cf_1(x)$ with an arbitrary constant $C$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9295.html} }