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By applying the derivative operator to Whipple-type 3 F 2 -series identities and utilizing L'Hôspital rule, two families of summation formulae involving generalized harmonic numbers are established. [ABSTRACT FROM AUTHOR]

In terms of the hypergeometric method, we establish the extension of a series for 1/π due to Ramanujan [Modular equations and approximations to π. Quart J Math (Oxford). 1914;45:350–372] with two free parameters and a beautiful series for π with one free parameter. Meanwhile, two series for 1/π with three free parameters are also derived in the same way. [ABSTRACT FROM AUTHOR]

In terms of the telescoping method, a simple binomial sum is given. By applying the derivative operators to the equation just mentioned, we establish several general harmonic number identities including some known results. [ABSTRACT FROM PUBLISHER]

Abstract: We use the method of series rearrangement to establish two families of summation formulae for -Watson type -series in this paper. [Copyright &y& Elsevier]

Abstract: In terms of the hypergeometric method, we establish the extensions of two formulas for due to Ramanujan (1914) [32]. Further, other five summation formulas for with free parameters are also derived in the same way. [Copyright &y& Elsevier]

By applying the derivative operators to Chu–Vandermonde convolution, several general harmonic number identities are established. [ABSTRACT FROM PUBLISHER]

Abstract: In terms of the hypergeometric method, we establish ten general -formulas with free parameters which include several known results as special cases. [Copyright &y& Elsevier]

Abstract: By applying the triple form of Gould–Hsu inversions to the Pfaff–Saalschütz theorem, a family of summation formulas on the Fox–Wright function, which implies several known -series identities due to Chen and Chu (2011) and numerous new hypergeometric series identities, is established. [Copyright &y& Elsevier]

Abstract: By applying the duplicate form of Carlitz inversions to three special cases of the -Saalschütz theorem respectively, we establish three classes of interesting summation formulae. [Copyright &y& Elsevier]

Abstract: Paule and Schneider (2003) , and Chu (Chu and Donno) (2005) gave a family of wonderful harmonic number identities. Their generalized versions associated with q-harmonic numbers will be established by applying a derivative operator to Watson''s q-Whipple transformation. [Copyright &y& Elsevier]

Abstract: We offer a short proof for Dougall’s -series identity, following the method of Chen and Fu. [Copyright &y& Elsevier]