Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant
DOI10.1186/s13660-018-1741-8zbMath1498.11079OpenAlexW2810928582WikidataQ60692627 ScholiaQ60692627MaRDI QIDQ824625
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1741-8
Recurrences (11B37) Special sequences and polynomials (11B83) Approximation to limiting values (summation of series, etc.) (40A25) Inequalities for trigonometric functions and polynomials (26D05) Evaluation of number-theoretic constants (11Y60) Exponential and trigonometric functions (33B10)
Related Items (4)
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
- 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
- Refinements and generalizations of some inequalities of Shafer-fink's type for the inverse sine function
- Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
- New asymptotic expansions related to Somos' quadratic recurrence constant
- A new method for proving some inequalities related to several special functions
- Some new continued fraction estimates of the Somos' quadratic recurrence constant
- Arithmetical properties of some series with logarithmic coefficients
- Integral representations of functions and Addison-type series for mathematical constants
- 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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