New sequences with continued fraction towards Euler's constant

DOI10.1016/j.amc.2015.02.021zbMath1390.40005OpenAlexW2092478709MaRDI QIDQ1635549

Lixin Song, Dawei Lu, Yang Yu

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.021

zbMATH Keywords

inequalitiesrate of convergenceasymptotic expansioncontinued fractionEuler's constant

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Continued fractions (11A55) Approximation to limiting values (summation of series, etc.) (40A25) Convergence and divergence of continued fractions (40A15) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

Some new sequences and inequalities related to Euler's constant ⋮ Acceleration methods for series: a probabilistic perspective ⋮ Some quicker continued fraction approximations and inequalities towards Euler's constant

Cites Work

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• Very accurate estimates of the polygamma functions
• 75.9 Euler’s Constant

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