New quicker sequences and inequalities with continued fraction towards Euler's constant

DOI10.1007/s00025-018-0796-7zbMath1426.11136OpenAlexW2790450951MaRDI QIDQ1743239

Xiaoyun Hu, Dawei Lu, Xiaoguang Wang

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0796-7

zbMATH Keywords

inequalitiesrate of convergenceasymptotic expansioncontinued fractionEuler's constant

Mathematics Subject Classification ID

Continued fractions (11A55) Rate of convergence, degree of approximation (41A25) Numerical approximation and evaluation of special functions (33F05) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

Some new sequences and inequalities related to Euler's constant ⋮ Rational approximation to Euler’s constant at a geometric rate of convergence ⋮ A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant

Cites Work

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

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