The Recovery of Orthogonal Polynomials from a Sum of Squares

DOI10.1137/0521057zbMath0703.42019OpenAlexW2049253478MaRDI QIDQ3482328

B. F. Logan

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521057

zbMATH Keywords

second-order differential equationselectrostatic equilibrium problempositive polynomial representationsosculatory interpolation with a sum of squares

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Connections of harmonic functions with differential equations in two dimensions (31A35)