Another Alternating Analogue of Euler’s Constant

DOI10.1080/00029890.2022.1992214zbMath1480.11164OpenAlexW3215000271MaRDI QIDQ5020266

Iaroslav V. Blagouchine

Publication date: 5 January 2022

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

Full work available at URL: https://doi.org/10.1080/00029890.2022.1992214

zbMATH Keywords

Euler's constant

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\)
• An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
• Summation of series defined by counting blocks of digits
• Sums of products of Cauchy numbers
• Analytic number theory. Proceedings of the 5th Japanese-French symposium held at the Maison Franco-Japonaise in Tokyo, Japan, October 10--13, 1988
• 2-adic congruences of Nörlund numbers and of Bernoulli numbers of the second kind
• Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results
• Sur les valeurs asymptotiques des nombres et des polynômes de Bernoulli
• Euler’s constant: Euler’s work and modern developments
• A Note on Some Recent Results for the Bernoulli Numbers of the Second Kind
• New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$
• Two Notes on Notation
• The Approximation of Logarithmic Numbers
• Vacca-type series for values of the generalized-Euler-constant function and its derivative
• Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula
• Three notes on Ser's and Hasse's representations for the zeta-functions

This page was built for publication: Another Alternating Analogue of Euler’s Constant