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1. Multiplier sequences and CZDS


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      Problem 1.1.

      [A. Vishnyakova] Let \{c_k\}_{k=0}^n\subset\mathbb{R} be given. Does there exist a real rooted polynomial, p(x), with zeros outside [0,n] such that c_k=p(k), k=0,1,\ldots,n?
          Note that this implies \{c_k\}_{k=0}^n is an n-CZDS.


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          Problem 1.2.

          [G. Csordas] Let f(z) be a meromorphic function. When is the sequence \{f(k)\}_{k=0}^\infty a multiplier sequence?

              Cite this as: AimPL: Stability and hyperbolicity, available at http://aimpl.org/hyperbolicpoly.