Inequalities for exponential polynomials with applications to moment sequences

Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev

Let ${\Phi }_{{\Lambda }_n}$ be the unique solution of the differential operator $L={\prod }_{j=0}^n\left(\frac{d}{dx}-{\lambda }_j\right)$ such that ${\Phi }_{{\Lambda }_n}^{\left(j\right)}\left(0\right)=0$…