NIST Digital Library of Mathematical Functions 10.12 Generating Function and Associated Series 2026-10-14
Online text: dlmf.nist.gov/10.12
Chapter authors: Ranjan Roy, Frank W. J. Olver, Richard A. Askey, Roderick S. C. Wong, William P. Reinhardt. Their names are given on the official chapter landing page.
Online text: dlmf.nist.gov/1
Cited section: dlmf.nist.gov/1.10
Cited passages: §1.10(iv), equation 1.10.9, states the argument principle; equation 1.10.10 gives the multiplicity-weighted sum of zero locations minus pole locations used in the weighted argument principle.
Cited passage: §1.11(ii), equation 1.11.10, gives the coefficient relations used in elementary symmetric polynomial.
Chapter 2 contributors: Frank W. J. Olver, Roderick S. C. Wong. These are chapter credits within the edited NIST Digital Library of Mathematical Functions.[ref]
Publisher: National Institute of Standards and Technology.
Online text: dlmf.nist.gov/2.11
Online reference release inspected: version 1.2.8, 15 September 2026. This date identifies the site release.
Cited passages: NIST Digital Library of Mathematical Functions, §2.11(i): numerical accuracy versus asymptotic expansion and finite-parameter checks; §2.11(iii): exponentially improved expansions.
Chapter 2 contributors: Frank W. J. Olver, Roderick S. C. Wong. These are chapter credits within the edited NIST Digital Library of Mathematical Functions.[ref]
Publisher: National Institute of Standards and Technology.
Online text: dlmf.nist.gov/2.1