Some inequalities and an application of exponential polynomials

DOI10.7153/mia-2020-23-10zbMath1468.11075OpenAlexW3005254586WikidataQ115478603 ScholiaQ115478603MaRDI QIDQ5108661

Feng Qi

Publication date: 5 May 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2020-23-10

zbMATH Keywords

generating functionBell numberinversion theoremwhite noise distribution theoryexponential polynomialexplicit formulacomplete monotonicitydeterminantal inequalityabsolute monotonicitylogarithmic convexityhigher-order derivativelogarithmic concavityFaá di Bruno formulaproduct inequalityStirling number of first kindTouchard polynomialStirling number of second kindBell polynomial of second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Explicit solutions, first integrals of ordinary differential equations (34A05) Arithmetic functions; related numbers; inversion formulas (11A25) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (5)

Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Bell-Sheffer exponential polynomials of the second kind ⋮ Unnamed Item ⋮ A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions

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