A Log-Concave Sequence (Open)

Summary: This problem concerns the logarithmic concavity of the sequence $P_0(a), P_1(a), \ldots, P_m(a)$ where $\{P_n\}$ is a certain sequence of polynomials, and $P_m$ has all real zeros, one of which is $a$.

Classification: Primary, Classical Analysis; Secondary, Sequences and Series

Slavko Simic
Mathematical Institute SANU
Kneza Mihaila 35
11000 Belgrade
Email: ssimic@turing.mi.sanu.ac.yu
Phone: +381 186 105
Fax: +381 630 170

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