Abstract
The aim of this paper is to represent any polynomial in terms of degenerate Frobenius–Euler polynomials and, more generally, of higher-order degenerate Frobenius–Euler polynomials. Explicit formulas with the help of umbral calculus are derived and the obtained results are illustrated by some examples.
Funding statement: The authors would like to thank Jangjeon Institute for Mathematical Sciences for the support of this research.
Acknowledgements
The authors would like to thank the reviewer for the suggestions that helped improve the original manuscript in its present form.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities
- On generalized derivations of semirings
- Non-smooth evolution of non-Newtonian flows influenced by thermal effects
- Ground states for fractional Choquard equations with magnetic fields and critical exponents
- A new class of exact solutions of von Karman’s equation in the nonlinear theory of gas dynamics
- Construction of certain new families related to q-Fubini polynomials
- Representation by degenerate Frobenius–Euler polynomials
- Absolute convergence of the Fourier trigonometric series with gaps
- Inverse of Berge’s maximum theorem in locally convex topological vector spaces and its applications
- On the negative order Cesáro summability of double series with respect to block-orthonormal systems
- Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space
Artikel in diesem Heft
- Frontmatter
- On the well-posedness of the Cauchy problem with weight for systems of linear generalized ordinary differential equations with singularities
- On generalized derivations of semirings
- Non-smooth evolution of non-Newtonian flows influenced by thermal effects
- Ground states for fractional Choquard equations with magnetic fields and critical exponents
- A new class of exact solutions of von Karman’s equation in the nonlinear theory of gas dynamics
- Construction of certain new families related to q-Fubini polynomials
- Representation by degenerate Frobenius–Euler polynomials
- Absolute convergence of the Fourier trigonometric series with gaps
- Inverse of Berge’s maximum theorem in locally convex topological vector spaces and its applications
- On the negative order Cesáro summability of double series with respect to block-orthonormal systems
- Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space