Wang, Yunpeng; Tong, Xinan Several identities involving \(q\)-harmonic numbers by \(q\)-Chu-Vandermonde convolution formula. (English) Zbl 1363.33012 Ars Comb. 122, 21-32 (2015). Summary: The purpose of this paper is to establish several identities involving \(q\)-harmonic numbers by the \(q\)-Chu-Vandermonde convolution formula and obtain some \(q\)-analogues of several known identities. MSC: 33D05 \(q\)-gamma functions, \(q\)-beta functions and integrals 33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. Keywords:\(q\)-Chu-Vandermonde convolution formula; \(q\)-harmonic number; \(q\)-analogue PDFBibTeX XMLCite \textit{Y. Wang} and \textit{X. Tong}, Ars Comb. 122, 21--32 (2015; Zbl 1363.33012)