Sur une mesure rendant orthogonaux les polynômes secondaires¶

Groux, R. (2007). Sur une mesure rendant orthogonaux les polynômes secondaires. Comptes Rendus Mathématique.

Type: Unclassified
Intellectual base: Unclassified
Year: 2007
DOI: 10.1016/j.crma.2007.09.005/
DOI registrant: Elsevier
Link: https://archive.numdam.org/articles/10.1016/j.crma.2007.09.005/

Cited by¶

1 citation across 1 artifact.

Domain-specific¶

Secondary Polynomials
- qₙ(x) = ∫ℝ [(pₙ(t) − pₙ(x))/(t − x)] ρ(t) dt.
  
  Supported in partVerified against the publisher's abstract
  
  Abstract confirms the paper builds secondary polynomials from a density ρ via Stieltjes-type constructions, but it never states the explicit integral formula.
  
  “La construction s'effectue à l'aide d'un couplage sur les transformées de Stieltjes des mesures et l'explicitation de μ grâce aux formules d'inversion de Stieltjes–Perron.”
  From the publisher's abstract.
  
  Read by an automated reader; not a human review. How support was checked

Verification¶

Does it exist? Not checked yet. This work's DOI is recorded above but has not been resolved against an external catalogue, so nothing here confirms the work exists.

Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:a795e48b55ad · see in the full table