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Several identities involving \(q\)-harmonic numbers by \(q\)-Chu-Vandermonde convolution formula. (English) Zbl 1363.33012

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.
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