Some identities of Eulerian polynomials arising from nonlinear differential equations

DOI10.1007/s40995-016-0073-0zbMath1397.05021arXiv1603.07826OpenAlexW2963844966MaRDI QIDQ1787793

Dae San Kim, Taekyun Kim

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07826

zbMATH Keywords

Eulerian polynomialsnon-linear differential equationhigher-order Eulerian polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Nonlinear ordinary differential equations and systems (34A34) Special sequences and polynomials (11B83)

Related Items (2)

Some identities related to Eulerian polynomials and involving the Stirling numbers ⋮ Explicit formulas and recurrence relations for higher order Eulerian polynomials

Cites Work

• Degenerate Euler zeta function
• General Eulerian numbers and Eulerian polynomials
• A note on Eulerian polynomials
• Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
• On certain summation problems and generalizations of Eulerian polynomials and numbers
• A generalization of the Eulerian numbers with a probabilistic application
• Umbral calculus associated with Frobenius-type Eulerian polynomials
• A note on nonlinear Changhee differential equations
• Eulerian polynomials as moments, via exponential Riordan arrays
• Eulerian Polynomials: From Euler’s Time to the Present
• The Product of Two Eulerian Polynomials
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