Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

A.J. VAN DER POORTEN, A NOTE ON HADAMARD ROOTS OF RATIONAL FUNCTIONS, The Rocky Mountain Journal of Mathematics, Vol. 26, No. 3 (SUMMER 1996), pp. 1183-1197 ...