In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy
numbers. Several generalizations of poly-Cauchy numbers have been considered
since then. One particular type of generalizations is that of
multiparameter-poly-Cauchy numbers. In this paper, we study the log-convexity
of the multiparameter-poly-Cauchy numbers of the first kind and of the second
kind. In addition, we also discuss the log-behavior of
multiparameter-poly-Cauchy numbers

Komatsu, Takao