Laguerre polynomial

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.19

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.19
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.19

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.19

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.19

Designations

ENLaguerre polynomial

FRpolynôme de Laguerre

Symbol

L_{n} (z)

Notation systems

AsciiMath

"L"_n(z)

LaTeX

\text{L}_{n} ( z )

Definition

Laguerre polynomial

polynôme de Laguerre

$L_{n} (z) = \frac{e^{z}}{n!} \frac{d^{n}}{d z^{n}} (z^{n} e^{- z})$

(for $n \in N$ )

Solution of $z y ″ + (1 - z) y' + n y = 0$

$L_{n} (z) = \frac{e^{z}}{n!} \frac{d^{n}}{d z^{n}} (z^{n} e^{- z})$

(pour $n \in N$ )

Solution de $z y ″ + (1 - z) y' + n y = 0$

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-20.19

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.19
skosxl:prefLabel	"Laguerre polynomial"@en
skosxl:altLabel	""L"_n(z)"@en
skos:definition	Laguerre polynomial
skos:note	stem:["L"_n(z) = (e^z)/(n!) ("d"^n)/("d"z^n) (z^n"e"^(-z))] (for stem:[n in bb(sf(N))]) Solution of stem:[zy'' + (1-z)…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20