Asymptotic of the Landau constants and their relationship with hypergeometric function

DOI10.11650/twjm/1500405444zbMath1188.11077OpenAlexW1588032769MaRDI QIDQ842010

Djurdje Cvijović, Hari M. Srivastava

Publication date: 22 September 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405444

zbMATH Keywords

generating functionsasymptotic expansionsgeneralized hypergeometric functionsdigamma functionRamanujan formulaLandau constants

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Power series (including lacunary series) in one complex variable (30B10) Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05) Evaluation of number-theoretic constants (11Y60)

Related Items (11)

New bounds and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Explicit identities for infinite families of series involving squared binomial coefficients ⋮ Inequalities and asymptotic expansions for the constants of Landau and Lebesgue ⋮ Asymptotic expansions for the constants of Landau and Lebesgue ⋮ Full asymptotic expansions of the Landau constants via a difference equation approach ⋮ Multiple-correction and continued fraction approximation ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations ⋮ Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio ⋮ Multiple-correction and faster approximation ⋮ Proof of a conjecture of Granath on optimal bounds of the Landau constants

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