@Article{JCM-12-3, author = {Ying-Guang, Shi}, 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/1994-JCM-9295}, url = {https://global-sci.com/article/85863/01cdotsm-2m-interpolation-for-the-laguerre-abscissas} }