Positivity properties of some special matrices

Priyanka Grover, Veer Singh Panwar, A Satyanarayana Reddy

It is shown that for positive real numbers $0<{\lambda }_1<\cdots <{\lambda }_n$, $\left[\frac{1}{\beta ({\lambda }_i,{\lambda }_j)}\right]$, where $\beta (\cdot ,\cdot )$ denotes the beta function, is infinitely divisi…