Some inequalities for the Bell numbers

DOI10.1007/s12044-017-0355-2zbMath1420.11052OpenAlexW2748544801MaRDI QIDQ1680365

Feng Qi

Publication date: 15 November 2017

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-017-0355-2

zbMATH Keywords

derivativeproductgenerating functioninequalityinductioncompletely monotonic functionStirling number of the second kindlogarithmically completely monotonic functionlogarithmic convexityabsolutely monotonic functionfaà di bruno formulaBell number determinantlogarithmically absolutely monotonic function

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)

Related Items (12)

Applications of the Bell numbers on univalent functions associated with subordination ⋮ Integral representations of the Catalan numbers and their applications ⋮ Unnamed Item ⋮ Generalized distribution for analytic function classes associated with error functions and Bell numbers ⋮ Some inequalities and an application of exponential polynomials ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations ⋮ On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function ⋮ On multivariate logarithmic polynomials and their properties ⋮ Unnamed Item ⋮ Starlike functions related to the Bell numbers ⋮ Some inequalities for generalized Bell-Touchard polynomials

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