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arXiv · 1603.06725

The log-convexity of the poly-Cauchy numbers

Takao Komatsu·Feng-Zhen Zhao
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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.

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Takao Komatsu, Feng-Zhen Zhao. 2016-03-22. The log-convexity of the poly-Cauchy numbers. https://doi.org/10.2989/16073606.2016.1260070

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