An identity for the odd double factorial
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Publication:5858885
zbMATH Open1461.05008arXiv1811.10196MaRDI QIDQ5858885
Author name not available (Why is that?)
Publication date: 14 April 2021
Abstract: The ordinary factorial may be written in terms of the Stirling numbers of the second kind as shown by Quaintance and Gould and the odd double factorial in terms of the Stirling numbers of the first kind as shown by Callan. During the preparation of an expository paper on Wolstenholme's Theorem, we discovered an expression for the odd double factorial using the Stirling numbers of the second kind. This appears to be the first such identity involving both positive and negative integers and the result is outlined here.
Full work available at URL: https://arxiv.org/abs/1811.10196
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