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q-Generalizations of Mortenson’s identities and further identities

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Abstract

By means of partial fraction decomposition, we give simple proofs of Mortenson’s identities first. Then, inspired by them, we derive their q-generalizations and explore further identities of similar type.

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Acknowledgements

The authors thank the anonymous referee for his/her valuable suggestions and comments that have contributed to the improvement of the paper’s presentation.

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Correspondence to Qinglun Yan.

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This work has been supported by the Natural Sciences Foundation of China under Grant Nos. 11201241, 11201240, 11301120, the Natural Sciences Foundation for Colleges and Universities in Jiangsu Province of China under Grant No. 11KJB110008, and Jiangsu Government Scholarship for Overseas Studies.

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Yan, Q., Wei, C. & Fan, X. q-Generalizations of Mortenson’s identities and further identities. Ramanujan J 35, 131–139 (2014). https://doi.org/10.1007/s11139-013-9526-7

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  • DOI: https://doi.org/10.1007/s11139-013-9526-7

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