On an Identity Involving Stirling Numbers of the Second Kind

Kwame Yankson
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Kwame Yankson: University of Michigan, USA

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 4, 38-42

Abstract: We investigate two generalized forms for the recurrence relation S(n, k) = kS(n - 1, k) + S(n - 1, k - 1). From these generalized forms, we derive a new identity, for which a proof of the identity is given.

Keywords: Stirling numbers of the Second Kind; recurrence relations; identities; proofs (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:4:id:14255

DOI: 10.24018/ejmath.2023.4.4.255

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