On Somos' quadratic recurrence constant

DOI10.1016/J.JNT.2016.02.018zbMath1343.11013OpenAlexW2323813231WikidataQ60692236 ScholiaQ60692236MaRDI QIDQ273428

Chao-Ping Chen, Xue-Feng Han

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.018

zbMATH Keywords

asymptotic expansioninequalitySomos' quadratic recurrence constant

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Recurrences (11B37)

Related Items (7)

Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant ⋮ Approximation formulas related to Somos' quadratic recurrence constant ⋮ Sharp inequalities and asymptotic series related to Somos' quadratic recurrence constant ⋮ On a general inequality related to the generalized-Euler-constant function ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Asymptotic expansion related to the generalized Somos recurrence constant ⋮ Approximations of the generalized-Euler-constant function and the generalized Somos' quadratic recurrence constant

Uses Software

• OEIS

Cites Work

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• Approximation of Sondow's generalized-Euler-constant function on the interval \([- 1, 1\)]
• 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
• 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
• New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$
• 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
• Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula

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