An accurate approximation of zeta-generalized-Euler-constant functions

DOI10.2478/s11533-010-0030-7zbMath1204.33027OpenAlexW2091428677MaRDI QIDQ607422

Vito Lampret

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0030-7

zbMATH Keywords

convergence accelerationinequalityestimatezetaseriesalternatinggeneralized-Euler-constant-function

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Other functions defined by series and integrals (33E20) Approximation to limiting values (summation of series, etc.) (40A25) Euler-Maclaurin formula in numerical analysis (65B15) Numerical approximation and evaluation of special functions (33F05) Evaluation of number-theoretic constants (11Y60)

Related Items (4)

Accurate double inequalities for generalized harmonic numbers ⋮ Some new sequences that converge to a generalized Euler constant ⋮ A double inequality for a generalized-Euler-constant function ⋮ New sequences that converge to a generalized Euler constant

Uses Software

• Mathematica

Cites Work

• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• Approximating real Pochhammer products: a comparison with powers
• A generalization of Euler's constant
• The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
• Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula
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