Estimating the Somos' quadratic recurrence constant

DOI10.1016/J.JNT.2010.06.012zbMath1208.40002OpenAlexW1998404103WikidataQ60692230 ScholiaQ60692230MaRDI QIDQ710500

Cristinel Mortici

Publication date: 19 October 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.06.012

zbMATH Keywords

generalized Euler constantSomos constant

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Euler-Maclaurin formula in numerical analysis (65B15) Evaluation of number-theoretic constants (11Y60)

Related Items (18)

Some new continued fraction sequence convergent to the Somos quadratic recurrence constant ⋮ On Somos' quadratic recurrence constant ⋮ Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant ⋮ Approximation formulas related to Somos' quadratic recurrence constant ⋮ Some new exponential-function estimates of the Somos' quadratic recurrence constant ⋮ Multiple-correction and continued fraction approximation. II ⋮ Sharp inequalities and asymptotic series related to Somos' quadratic recurrence constant ⋮ On the universality of Somos' constant ⋮ New asymptotic expansions related to Somos' quadratic recurrence constant ⋮ Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant ⋮ A note on Somos' quadratic recurrence constant ⋮ On a general inequality related to the generalized-Euler-constant function ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ The parameterized-Euler-constant function \(\gamma_{\alpha}(z)\) ⋮ Asymptotic expansion related to the generalized Somos recurrence constant ⋮ Approximations of the generalized-Euler-constant function and the generalized Somos' quadratic recurrence constant ⋮ Bounds for the generalized Euler-constant function ⋮ Some new continued fraction estimates of the Somos' quadratic recurrence constant

Uses Software

• OEIS

Cites Work

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• Approximation of Sondow's generalized-Euler-constant function on the interval \([- 1, 1\)]
• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Arithmetical properties of some series with logarithmic coefficients

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