A set of finite order differential equations for the Appell polynomials

DOI10.1016/j.cam.2013.08.006zbMath1291.33011OpenAlexW2103245545MaRDI QIDQ2252814

Banu Yılmaz, Mehmet Ali Özarslan

Publication date: 23 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.08.006

zbMATH Keywords

differential equationHermite polynomialsAppell polynomialsBernoulli polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (16)

Difference equations of \(q\)-Appell polynomials ⋮ Differential and integral equations for the 2-iterated Appell polynomials ⋮ \(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials ⋮ Differential and integral equations for the Laguerre-Gould-Hopper-based Appell and related polynomials ⋮ Differential and integrodifferential equations for Gould-Hopper-Frobenius-Euler polynomials ⋮ Confluent Appell polynomials ⋮ Differential equations for certain hybrid special matrix polynomials ⋮ On Bell based Appell polynomials ⋮ Differential and integral equations for the 2-iterated Bernoulli, 2-iterated Euler and Bernoulli-Euler polynomials ⋮ \(q\)-difference equations for the 2-iterated \(q\)-Appell and mixed type \(q\)-Appell 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 ⋮ Hahn-Appell polynomials and their \(d\)-orthogonality ⋮ A class of big (p,q)-Appell polynomials and their associated difference equations

Cites Work

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