Bounds for the generalized Euler-constant function

DOI10.1080/0020739X.2014.950704zbMath1317.97003MaRDI QIDQ5247653

Hatice Topcu, Necdet Batir

Publication date: 27 April 2015

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

zbMATH Keywords

inequalitiesdilogarithm functionEuler-Mascheroni constantSomos' quadratic recurrence constantEuler-constant functionLerch transcendental

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Evaluation of number-theoretic constants (11Y60) Number theory (educational aspects) (97F60) Mappings and functions (educational aspects) (97I20)

Cites Work

• Approximation of Sondow's generalized-Euler-constant function on the interval \([- 1, 1\)]
• A note on Somos' quadratic recurrence constant
• Estimating the Somos' quadratic recurrence constant
• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Arithmetical properties of some series with logarithmic coefficients
• On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant

This page was built for publication: Bounds for the generalized Euler-constant function