A Special Class of Bell Polynomials

DOI10.2307/2006208zbMath0438.10012OpenAlexW4243347911MaRDI QIDQ3879305

F. T. Howard

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2006208

zbMATH Keywords

Bernoulli numbersassociated Stirling numbersGenocchi numberexponential partial Bell polynomialvan der Pol numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (8)

Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers ⋮ Notes on degenerate numbers ⋮ Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials ⋮ Some inequalities for the Bell numbers ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ A theorem relating potential and Bell polynomials ⋮ Unnamed Item ⋮ An explicit formula for generalized potential polynomials and its applications

Cites Work

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• Bell polynomials and degenerate Stirling numbers
• A sequence of numbers related to the exponential function
• Eulerian Numbers and Polynomials
• Polynomials Related to the Bessel Functions
• Numbers Generated by the Reciprocal of e x - x - 1
• The VAN DER POL Numbers and a Related Sequence of Rational Numbers
• Properties of the van der Pol numbers and polynomials.

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