Abstract
We establish q-analogues for three summation formulae about the \(\lambda \)-extended Catalan numbers.
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Acknowledgements
The first author is supported, during this work, by the Natural Science Foundation of Shandong Province of China under Grant No. ZR2017QA012. This work was conducted during a visit to DIMACS partially enabled through support from the National Science Foundation under Grant No. CCF-1445755.
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Chen, X., Chu, W. Full q-Analogue for an Identity of \(\lambda \)-Extended Catalan Numbers. Bull Braz Math Soc, New Series 52, 461–465 (2021). https://doi.org/10.1007/s00574-020-00210-z
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DOI: https://doi.org/10.1007/s00574-020-00210-z
Keywords
- Catalan number
- \(\lambda \)-extended Catalan number
- q-Catalan number
- Koshy’s identity
- Basic hypergeometric series
- Terminating balanced \(_4\phi _3\)-series