Some inequalities for generalized Bell-Touchard polynomials

DOI10.7153/jmi-2019-13-42zbMath1425.11048OpenAlexW2980252867MaRDI QIDQ5244234

Qiaoling Zhang, Hairong Yan, Aimin Xu

Publication date: 20 November 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-42

zbMATH Keywords

inequalitylogarithmic convexitycompletely monotonicabsolutely monotonicBell-Touchard polynomial

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Exponential and trigonometric functions (33B10)

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Cites Work

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• Trilinear equations, Bell polynomials, and resonant solutions
• Divisibility properties of the \(r\)-Bell numbers and polynomials
• The \(r\)-Stirling numbers
• Remarks on some inequalities of A. M. Fink
• Inequalities for real powers of completely monotonic functions
• Some inequalities for the Bell numbers
• Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
• Bilinear equations and resonant solutions characterized by Bell polynomials
• Commutation Relations, Normal Ordering, and Stirling Numbers
• The $r$-Bell numbers
• Analytic Inequalities
• Bernstein functions. Theory and applications
• Bell numbers, log-concavity, and log-convexity

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