Analyzing a Seneta's conjecture by using the Williamson transform

Edward Omey, Meitner Cadena

Considering slowly varying functions (SVF), Seneta in 2019 conjectured the following implication, for $\alpha \ge 1$, $$ \int_0^x y^{α-1}(1-F(y))dy\textrm{ is SVF}\ \Longrightarrow\ \int…