Positivity properties of the matrix left[(i+j)^(i+j)right]
classification
🧮 math.FA
math.CA
keywords
matrixpositivecdotsdivisibleentryinfinitelyleftnonsingular
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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.
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