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A Matrix Representation for Euler's Constant, &#947

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Publication:2757375
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DOI10.2307/2589150zbMath0979.11061OpenAlexW4254503914MaRDI QIDQ2757375

Frank K. Kenter

Publication date: 26 November 2001

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2589150


zbMATH Keywords

matrix productEuler's constant


Mathematics Subject Classification ID

Evaluation of number-theoretic constants (11Y60)


Related Items (6)

Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Riordan matrix representations of Euler's constant \(\gamma\) and Euler's number \(e\) ⋮ Identities for the Hurwitz zeta function, gamma function, and \(L\)-functions ⋮ A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations ⋮ Identities for the Riemann zeta function ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only







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