Some identities involving the central factorial numbers and Riemann zeta function.
type: Item
instance of: scholarly article
title: Some identities involving the central factorial numbers and Riemann zeta function.
zbMATH Open document ID: 1058.11056
author: Guodong Liu
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2004-06-22T00:00:00Z
review text: For the central factorial numbers \(t(n, k)\) defined by the following generating function: \[ \Biggl[2\log\Biggl({z\over 2}+ \sqrt{1+{z^2\over 4}}\Biggr)\Biggr]^k= k! \sum^\infty_{n=k} t(n,k) {z^n\over n!}\qquad (z\in\mathbb{C};\,| z|< 1), \] the author derives several interesting summation identities which also involve the familiar zeta function of Riemann [see, for details, the reviewer and \textit{J. Choi}, Series associated with the zeta and related functions, Kluwer, Dordrecht (2001; Zbl 1014.33001)]. The results presented in this paper are much too involved to be reproduced here.
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 2076378
zbMATH Keywords: summation identities
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2076378