Approximations of the generalized-Euler-constant function and the generalized Somos' quadratic recurrence constant
DOI10.1186/s13660-019-2153-0zbMath1498.11247OpenAlexW2961715011WikidataQ127461854 ScholiaQ127461854MaRDI QIDQ2067955
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2153-0
asymptotic expansioninequalitySomos' quadratic recurrence constantEulerian fractiongeneralized-Euler-constant function
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Evaluation of number-theoretic constants (11Y60)
Uses Software
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
- Inequalities and asymptotic expansions related to the generalized 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
- On certain summation problems and generalizations of Eulerian polynomials and numbers
- New asymptotic expansions related to Somos' quadratic recurrence constant
- Some new continued fraction estimates of the Somos' quadratic recurrence constant
- Asymptotic expansions for the psi function and the Euler-Mascheroni 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 $$\ln \frac{4}{\pi }$$
- Eulerian Numbers and Polynomials
- OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
- 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
- Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant
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