New proofs of Melzak's identity
Ulrich Abel, Henry W. Gould, Jocelyn Quaintance
TL;DR
This paper presents new proofs for Melzak's identity and its generalization, contributing to the understanding of combinatorial identities with alternative proof techniques.
Contribution
It introduces novel proofs for Melzak's identity and its generalization, expanding the methods available for combinatorial identity verification.
Findings
New proofs of Melzak's identity
Generalization of Melzak's identity proved
Enhanced understanding of combinatorial identities
Abstract
In their recent book on combinatorial identities, Quaintance and Gould devoted one chapter to Melzak's identity. We give new proofs for this identity and its generalization.
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