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

• Download Problem [PDF]

Slavko Simic
Mathematical Institute SANU
Kneza Mihaila 35
11000 Belgrade
Serbia
Email: [email protected]
Phone: +381 186 105
Fax: +381 630 170

Donate · Contact Us · Site Map · Join SIAM · My Account