= 1 Algebraic and Analytic Methods
{c}
{tag=Work by Ranjan Roy}
{tag=Work by Frank W. J. Olver}
{tag=Work by Richard A. Askey}
{tag=Work by Roderick S. C. Wong}
{tag=Work by William P. Reinhardt}
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: https://dlmf.nist.gov/1
Cited section: https://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>.
Additional cited passages: §1.13(i), equations 1.13.1–1.13.6, common equation, Wronskian, Abel identity and fundamental-pair equivalence; §1.13(iii), equations 1.13.8–1.13.10, normalized inhomogeneous equation and variation of parameters. Inspected online release: version 1.2.8, 15 September 2026; this is a reference release date, not the original chapter publication date. The source uses analytic coefficients on a simply connected complex domain.
Additional cited section: https://dlmf.nist.gov/1.2[§1.2(ii) Finite Series, equation 1.2.10 and last-term definition]. The five contributors credited above are Chapter 1 authors, not whole-reference authors. Inspected release: version 1.2.8, 15 September 2026; this is an online reference release date.
Additional cited section: https://dlmf.nist.gov/1.7[§1.7(i), equation 1.7.2, and §1.7(ii), equation 1.7.5, including equality conditions]. The existing five chapter contributors remain the Chapter 1 authors; no new publication or release date is inferred.
Additional cited section: https://dlmf.nist.gov/1.4[§1.4(v), Functions of Bounded Variation, equations 1.4.33–1.4.34 and the conditions on the derivative integral]. The existing five chapter contributors remain the Chapter 1 authors; no new chapter publication date is inferred.
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