Regularity of some ‘incomplete’ Pál-type interpolation problems

In this paper the regularity of nine Pál-type interpolation problems is proved. In the literature interpolation on the zeros of the pairwn(α)(z)=(z+α)n+(1+αz)n, vn(α)(z)=(z+α)n−(1+αz)nwith 0<α<1 has been studied. Here the nodes form a subset of these sets of zeros.