On some special polynomials

DOI10.1090/S0002-9939-03-07281-2zbMath1058.33009OpenAlexW2164916012MaRDI QIDQ4452194

Valery V. Karachik

Publication date: 12 February 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07281-2

zbMATH Keywords

orthogonal polynomialsharmonic polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (11)

Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation ⋮ Integral identities on a sphere for normal derivatives of polyharmonic functions ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ On the mean value property for polyharmonic functions in the ball ⋮ The Green function of the Dirichlet problem for the triharmonic equation in the ball ⋮ Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball ⋮ Neumann type problems for the polyharmonic equation in ball ⋮ Class of Neumann-type problems for the polyharmonic equation in a ball ⋮ On an arithmetical triangle ⋮ On the arithmetic triangle arising from the solvability conditions for the Neumann problem ⋮ Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation

Cites Work

• On one set of orthogonal harmonic polynomials
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