A Bernstein function related to Ramanujan's approximations of \(\exp(n)\)

DOI10.1007/s11139-012-9409-3zbMath1267.41032OpenAlexW2070309606MaRDI QIDQ1955554

Stamatis Koumandos

Publication date: 14 June 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9409-3

zbMATH Keywords

completely monotonic functionsBernstein functionsRamanujan's sequenceHausdorff moment sequences

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Exponential and trigonometric functions (33B10)

Related Items (3)

On geometric properties of the generating function for the Ramanujan sequence ⋮ Completely hyperexpansive tuples of finite order ⋮ The median of gamma distribution and a related Ramanujan sequence

Cites Work

• Completely monotone sequences and universally prestarlike functions
• On the complete monotonicity of a Ramanujan sequence connected with \(e^{ n }\)
• Factorial series connected with the Lambert function, and a problem posed by Ramanujan
• Completely monotonic and related functions
• Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence
• On the Lambert \(w\) function
• On Ramanujan's \(Q\)-function
• Pre Stieltjes functions
• On Ramanujan's Inequalities for exp( k )
• The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan
• What is the Laplace Transform?
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