On similarities between exponential polynomials and Hermite polynomials

DOI10.17512/JAMCM.2013.3.10zbMath1382.11027OpenAlexW1033102670MaRDI QIDQ530150

Damian Słota, Roman Wituła, Edyta Hetmaniok, Mariusz Pleszczyński

Publication date: 9 June 2017

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2013.3.10

zbMATH Keywords

Stirling numbersHermite polynomialsBell polynomialsexponential polynomialDobinski's formulageneralized Hermite-Bell polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Polynomials in number theory (11C08)

Related Items (1)

Iterated integrals of polynomials

Cites Work

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• Simple formulas for certain polynomials
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• The umbral calculus
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• Exponential polynomials
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• A unified approach to polynomial sequences with only real zeros
• Applications of the classical umbral calculus
• The Hankel Determinant of Exponential Polynomials
• Asymptotic analysis of generalized Hermite polynomials
• A linear binomial recurrence and the Bell numbers and polynomials
• Differential equation for Hermite-Bell polynomials
• The Hankel Determinant of Exponential Polynomials: A Very Short Proof and a New Result Concerning Euler Numbers
• Irreducibility of Polynomials
• Note on the Single Variable Bell Polynomials
• Stirling Behavior is Asymptotically Normal

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