Intertwining maps for the Weitzenböck and Chebyshev derivations

DOI10.15330/MS.49.1.3-12zbMath1410.05003OpenAlexW2885876885WikidataQ129453040 ScholiaQ129453040MaRDI QIDQ2414382

N. B. Lunio, Leonid Bedratyuk

Publication date: 13 May 2019

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/ms.49.1.3-12

zbMATH Keywords

recurrence equationintertwining mapWeitzenböck derivationAppel polynomialChebyshev derivation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Modular Lie (super)algebras (17B50)

Cites Work

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• The umbral calculus
• Derivations and identities for Kravchuk polynomials
• Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
• Derivations and identities for Fibonacci and Lucas polynomials
• Kernels of derivations of polynomial rings and Casimir elements
• Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials

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