TY - JOUR
T1 - $(0,1,\cdots,m-2,m)$ Interpolation for the Laguerre Abscissas
AU - Shi , Ying-Guang
JO - Journal of Computational Mathematics
VL - 2
SP - 123
EP - 131
PY - 1994
DA - 1994/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9281.html
KW - 
AB - <p style="text-align: justify;">A necessary and sufficient condition of regularity of $(0,1,\cdots,m-2,m)$ interpolation on the zeros of Laguerre polynomials $L_n^{(α)}(x) (α≥-1)$ 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 $C$.</p>