NIST Digital Library of Mathematical Functions / 18 Orthogonal Polynomials

Chapter authors: Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek, René F. Swarttouw, William P. Reinhardt. These are Chapter 18 credits in the edited NIST Digital Library of Mathematical Functions. The National Institute of Standards and Technology issues and hosts the reference. No chapter publication date is established; version 1.2.8, released 15 September 2026, is an online reference release.

Chapter and author credits: dlmf.nist.gov/18

Cited section: §18.2(i), Orthogonality on Intervals: equation 18.2.1; §18.2(i), equation 18.2.1_5 and surrounding weight/moment hypotheses; Chapter 18 current five-person author byline.

Cited section: Table 18.3.1, Legendre row: (-1,1), unit weight, squared norm 2/(2n+1), leading coefficient; §18.3 paragraph introducing orthogonality and standardization; Chapter 18 author byline.