\(q\)-generalizations of Mortenson's identities and further identities
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Publication:2254854
DOI10.1007/s11139-013-9526-7zbMath1306.05016OpenAlexW2070238646MaRDI QIDQ2254854
Xiaona Fan, Qinglun Yan, Chuanan Wei
Publication date: 6 February 2015
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-013-9526-7
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (4)
Some generalized q-harmonic number identities ⋮ Summation formulas involving generalized harmonic numbers ⋮ An extension for Rice's integral and applications ⋮ Watson-type3F2-series and summation formulae involving generalized harmonic numbers
Cites Work
- A binomial coefficient identity associated to a conjecture of Beukers
- A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
- On a supercongruence conjecture of Rodriguez-Villegas
- Binomial Coefficient – Harmonic Sum Identities Associated to Supercongruences
- EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
- Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
- A Gaussian hypergeometric series evaluation and Apéry number congruences
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