associated Laguerre polynomial

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.20

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.20
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.20

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.20

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.20

Designations

ENassociated Laguerre polynomial

FRpolynôme de Laguerre associé

Symbol

L_{n}^{m} (z)

Notation systems

AsciiMath

"L"_n^m(z)

LaTeX

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

Definition

associated Laguerre polynomial

polynôme de Laguerre associé

$L_{n}^{m} (z) = {(- 1)}^{m} \frac{d^{m}}{d z^{m}} L_{n} (z)$

(for $m \in N$ , $m \leq n$ )

Solution of

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

$L_{n}^{m} (z) = {(- 1)}^{m} \frac{d^{m}}{d z^{m}} L_{n} (z)$

(pour $m \in N$ , $m \leq n$ )

Solution de

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

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

isq:t2-20.20

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.20
skosxl:prefLabel	"associated Laguerre polynomial"@en
skosxl:altLabel	""L"_n^m(z)"@en
skos:definition	associated Laguerre polynomial
skos:note	stem:["L"_n^m(z) = (-1)^m ("d"^m)/("d"z^m) "L"_n (z)] (for stem:[m in bb(sf(N))], stem:[m <= n]) Solution of stem:[zy…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20