# Publications and Preprints

Positivity properties of the matrix $\left[(i+j)^{i+j}\right]$
by
Rajendra Bhatia and Tanvi Jain
Let $p_1 < p_2 < \cdots < p_n$ be positive real numbers. It is shown that the matrix whose $i,j$ entry is $(p_i+p_j)^{p_i+p_j}$ is infinitely divisible, nonsingular and totally positive.

isid/ms/2015/11 [fulltext]