The log-convexity of the poly-Cauchy numbers
Number Theory
2021-03-01 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1603.06725,
title = {The log-convexity of the poly-Cauchy numbers},
author = {Takao Komatsu and Feng-Zhen Zhao},
journal= {arXiv preprint arXiv:1603.06725},
year = {2021}
}