2 problems

Let $\{f_k\}_{k=0}^{n}$ be a non-negative sequence, let $\alpha,\beta>0$, and define … A real polynomial is Hurwitz stable when all its zeros have negative real part. The Hurwitz-s…

Let $\{f_k\}_{k=0}^{n}$ be a non-negative sequence, let $\alpha,\beta>0$, and define … Here $(x)_k$ denotes the rising factorial. Karp–Sitnik's coefficient-positivity conjecture. I…