Interpolation by special exponential polynomials (Q759932)

The branching properties of the exponential polynomials \(P_ n(t)=e^{xt}\sum^{n}_{j=0}y_ jt^ j\) interpolating \(n+2\) given real points are investigated. The branching points are those which can be interpolated already by exponential polynomials \(P_{n-k}(t)\), with \(k>0\). The number of solutions of the interpolation problem changes in subneighbourhoods of the branching points and may also be zero.