On geometric properties of the generating function for the Ramanujan sequence

DOI10.1007/s11139-017-9895-4zbMath1390.33001OpenAlexW2610890161MaRDI QIDQ1635632

Andrew Bakan, Stephan Ruscheweyh, Luis C. Salinas

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-017-9895-4

zbMATH Keywords

universally convex functionscompletely monotone sequencesRamanujan's sequenceuniversally starlike functions

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55) Exponential and trigonometric functions (33B10)

Related Items (1)

Completely monotone sequences and harmonic mappings

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
• Universally prestarlike functions as convolution multipliers
• Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence
• On Ramanujan's \(Q\)-function
• A Bernstein function related to Ramanujan's approximations of \(\exp(n)\)
• On Ramanujan's Inequalities for exp( k )
• Universal convexity and universal starlikeness of polylogarithms

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