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math.GM2026
Inequalities for ratios of Gamma functions
Henrik Laurberg Pedersen
We prove that the function is a generalized Stieltjes function of order for and . A si…
math.PR2026
On the entropy of the log-normal distribution
Christian Berg, Henrik Laurberg Pedersen
In a paper by Novi Inverardi and Tagliani from 2024 it is claimed that the log-normal density has maximal entropy in the class of densities having the same moments as the log-norma…