Notes on two kinds of special values for the Bell polynomials of the second kind

DOI10.18514/MMN.2019.2635zbMath1438.11060OpenAlexW2795645598MaRDI QIDQ5228266

Yonghong Yao, Feng Qi, Dongkyu Lim

Publication date: 9 August 2019

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18514/mmn.2019.2635

zbMATH Keywords

beta functioncombinatorial analysisrelationspecial valueFaà di Bruno formulaidentityfactorialBell polynomial of the second kindVandermonde convolution formula

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83) Special polynomials in general fields (12E10) Real polynomials: analytic properties, etc. (26C05)

Related Items (8)

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Computation of several Hessenberg determinants ⋮ Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions ⋮ Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers ⋮ Unnamed Item ⋮ Some properties of the Hermite polynomials ⋮ Unnamed Item

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