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New proofs of Melzak’s identity

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Abstract

In their recent book (Quaintance, Combinatorial identities for Stirling numbers: the unpublished notes of H. W. Gould, World Scientific, Singapore, 2016) on combinatorial identities, Quaintance and Gould devoted one chapter (Quaintance 2016, Chap. 7) to Melzak’s identity. We give new proofs for this identity and its generalization.

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References

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Acknowledgements

The author is grateful to Professor Jocelyn Quaintance for helpful discussions. Furthermore, he thanks the anonymous referee for pointing out the recent book [2].

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Correspondence to Ulrich Abel.

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Abel, U. New proofs of Melzak’s identity. Aequat. Math. 94, 163–167 (2020). https://doi.org/10.1007/s00010-019-00659-4

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  • DOI: https://doi.org/10.1007/s00010-019-00659-4

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