Truncated-exponential-based Frobenius-Euler polynomials

DOI10.1186/s13662-019-2462-0zbMath1487.11022OpenAlexW2996065189WikidataQ115518544 ScholiaQ115518544MaRDI QIDQ2142056

Shahid Ahmad Wani, Wiyada Kumam, Serkan Araci, Poom Kumam, Hari M. Srivastava

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2462-0

zbMATH Keywords

summation formulasmonomiality principleFrobenius-Euler polynomialsquasi-monmiality principletruncated-exponential based polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications ⋮ A note on Hermite-based truncated Euler polynomials ⋮ Certain results on a hybrid class of the Boas-Buck polynomials

Cites Work

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• Some identities of the Frobenius-Euler polynomials
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• The Laguerre and Legendre polynomials from an operational point of view.
• A note on truncated polynomials
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• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
• The poweroid, an extension of the mathematical notion of power
• Eulerian Numbers and Polynomials
• Some formulas for the Bernoulli and Euler polynomials at rational arguments

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