Lah numbers, Laguerre polynomials of order negative one, and the \(n\)th derivative of \(\exp(1/x)\)

DOI10.1515/ausm-2016-0002zbMath1398.11108OpenAlexW2490590276MaRDI QIDQ739139

Khristo N. Boyadzhiev

Publication date: 17 August 2016

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2016-0002

zbMATH Keywords

Stirling numbersLaguerre polynomialsLah numbersexponential polynomialshigher derivativesbinomial identities

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15)

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Uses Software

• DLMF

Cites Work

• Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals
• Taylor expansions of analytic functions related to \((1+z)^ x-1\)
• A series transformation formula and related polynomials
• The Lah Numbers and thenth Derivative of e^1/x
• Six proofs for an identity of the Lah numbers
• Review of the stirling numbers, their generalizations and Statistical Applications
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