Sharp inequalities and asymptotic series related to Somos' quadratic recurrence constant

DOI10.1016/J.JNT.2016.08.010zbMath1360.41016OpenAlexW2530563172WikidataQ60692239 ScholiaQ60692239MaRDI QIDQ344123

Chao-Ping Chen

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.08.010

zbMATH Keywords

asymptotic expansioninequalitySomos' quadratic recurrence

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15)

Related Items (2)

Approximation formulas related to Somos' quadratic recurrence constant ⋮ Asymptotic expansions for certain mathematical constants and special functions

Uses Software

• OEIS

Cites Work

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• On Somos' quadratic recurrence constant
• 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
• Application of Faà di Bruno's formula in characterization of inverse relations
• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• New asymptotic expansions related to Somos' quadratic recurrence constant
• Some new continued fraction estimates of the Somos' quadratic recurrence constant
• Arithmetical properties of some series with logarithmic coefficients
• Asymptotic formulae associated with the Wallis power function and digamma function
• Vacca-type series for values of the generalized-Euler-constant function and its derivative
• On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant

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