Differential equations for the extended 2D Bernoulli and Euler polynomials

DOI10.1186/1687-1847-2013-107zbMath1380.11021OpenAlexW2147418392WikidataQ59292835 ScholiaQ59292835MaRDI QIDQ1693530

Mehmet Ali Özarslan, Banu Yılmaz

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-107

zbMATH Keywords

differential equationsgeneralized heat equation2D Appell polynomials2D Bernoulli polynomials2D Euler polynomialsHermite-Kampé de Fériet (or Gould-Hopper) polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (15)

Difference equations of \(q\)-Appell polynomials ⋮ On amalgamation of truncated exponential and Gould-Hopper polynomials ⋮ \(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ Finding determinant and integral forms of the 2-iterated \(2D\) Appell polynomials ⋮ Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Hermite-based hybrid polynomials and some related properties ⋮ Differential and integral equations for the Laguerre-Gould-Hopper-based Appell and related polynomials ⋮ Differential and integrodifferential equations for Gould-Hopper-Frobenius-Euler polynomials ⋮ Differential equations for certain hybrid special matrix polynomials ⋮ On some classes of differential equations and associated integral equations for the Laguerre-Appell polynomials ⋮ Some families of differential equations associated with the 2-iterated 2D Appell and related polynomials ⋮ Differential and integral equations associated with some hybrid families of Legendre polynomials ⋮ Difference equations for a class of twice-iterated \(\Delta _{h}\)-Appell sequences of polynomials ⋮ A class of big (p,q)-Appell polynomials and their associated difference equations ⋮ Certain results on a hybrid class of the Boas-Buck polynomials

Cites Work

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• Some properties of Bernoulli polynomials and their generalizations
• Some new families of generalized Euler and Genocchi polynomials
• Genocchi polynomials associated with the umbral algebra
• Differential equation of Appell polynomials via the factorization method
• Some results on quasi-monomiality.
• Multidimensional extensions of the Bernoulli and Appell polynomials
• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• Some families of Genocchi type polynomials and their interpolation functions
• The Factorization Method

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