Hermite polynomial

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.18

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.18
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.18

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.18

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.18

Designations

ENHermite polynomial

FRpolynôme d'Hermite

Symbol

H_{n} (z)

Notation systems

AsciiMath

"H"_n(z)

LaTeX

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

Definition

Hermite polynomial

polynôme d'Hermite

$H_{n} (z) = {(- 1)}^{n} e^{z^{2}} \frac{d^{n}}{d z^{n}} e^{- z^{2}}$

(for $n \in N$ )

Solution of $y ″ - 2 z y' + 2 n y = 0$

$H_{n} (z) = {(- 1)}^{n} e^{z^{2}} \frac{d^{n}}{d z^{n}} e^{- z^{2}}$

(pour $n \in N$ )

Solution de $y ″ - 2 z y' + 2 n y = 0$

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

isq:t2-20.18

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.18
skosxl:prefLabel	"Hermite polynomial"@en
skosxl:altLabel	""H"_n(z)"@en
skos:definition	Hermite polynomial
skos:note	stem:["H"_n(z) = (-1)^n "e"^(z^2) ("d"^n)/("d"z^n) "e"^(-z^2)] (for stem:[n in bb(sf(N))]) Solution of stem:[y'' - 2zy…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20