A Note on q-Stirling Numbers

Mircea Merca ()
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Mircea Merca: University of Craiova, Department of Mathematics

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 239-244 from Springer

Abstract: Abstract The q-Stirling numbers of both kinds are specializations of the complete or elementary symmetric functions. In this note, we use this fact to prove that the q-Stirling numbers can be expressed in terms of the q-binomial coefficients and vice versa.

Keywords: Elementary Symmetric Functions; Classical Binomial Coefficients; Classical Stirling Numbers; Schur Functions; Integer Partitions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_9

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DOI: 10.1007/978-1-4939-0258-3_9

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