Some BBP-type series for polylog integrals

DOI10.12697/ACUTM.2021.25.21zbMath1482.11116WikidataQ114058336 ScholiaQ114058336MaRDI QIDQ5061876

Anthony Sofo

Publication date: 14 March 2022

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

Euler sumsdefinite integralDirichlet beta functionsBBP-type relations

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Integration of real functions of several variables: length, area, volume (26B15) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Logarithmic integrals with applications to BBP and Euler-type sums

Cites Work

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• New binary and ternary digit extraction (BBP-type) formulas for trilogarithm constants
• New formulae of BBP-type with different moduli
• (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
• On the computation and verification of \(\pi\) using BBP-type formulas
• A family of shifted harmonic sums
• Extensions of Euler harmonic sums
• On the rapid computation of various polylogarithmic constants
• Euler Sums and Contour Integral Representations
• Mathematical Constants II
• On some combinatorial identities and harmonic sums
• Euler-like sums via powers of log, arctan and arctanh functions
• General order Euler sums with rational argument
• Several BBP-type formulas for π
• SHIFTED HARMONIC SUMS OF ORDER TWO
• Evaluation of a ln tan integral arising in quantum field theory

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