Chebyshev polynomial of the first kind

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.21

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.21
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.21

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.21

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.21

Designations

ENChebyshev polynomial of the first kind

FRpolynôme de Chebyshev de première espèce

Symbol

T_{n} (z)

Notation systems

AsciiMath

"T"_n(z)

LaTeX

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

Definition

Chebyshev polynomial of the first kind

polynôme de Chebyshev de première espèce

$T_{n} (z) = cos (n arccos z)$

(for $n \in N$ )

Solution of $(1 - z^{2}) y ″ - z y' + n^{2} y = 0$

$T_{n} (z) = cos (n arccos z)$

(pour $n \in N$ )

Solution de $(1 - z^{2}) y ″ - z y' + n^{2} y = 0$

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

isq:t2-20.21

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.21
skosxl:prefLabel	"Chebyshev polynomial of the first kind"@en
skosxl:altLabel	""T"_n(z)"@en
skos:definition	Chebyshev polynomial of the first kind
skos:note	stem:["T"_n(z) = "cos"(n " arccos " z)] (for stem:[n in bb(sf(N))]) Solution of stem:[(1-z^2)y'' - zy' + n^2y=0]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20