A function theory for finding a basis for all polynomial solutions to linear constant coefficient pde's of homogeneous order

DOI10.1080/17476939408814702zbMath0793.31003OpenAlexW2021935939MaRDI QIDQ4293648

Paul S. Pedersen

Publication date: 7 July 1994

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939408814702

zbMATH Keywords

spherical harmonicspolynomial solutionsreal polynomial solutions

Mathematics Subject Classification ID

General theory of PDEs and systems of PDEs with constant coefficients (35E20) Solutions to PDEs in closed form (35C05) Connections of harmonic functions with differential equations in higher dimensions (31B35) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (5)

Heat polynomial analogues for equations with higher order time derivatives ⋮ Cauchy's integral theorem on a finitely generated, real, commutative, and associative algebra ⋮ The apolar bilinear form in geometric modeling ⋮ Basis for power series solutions to systems of linear, constant coefficient partial differential equations ⋮ An interesting case of variables separation

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