Hankel function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.25

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.25
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.25

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.25

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.25

Designations

ENHankel function

FRfonction de Hankel

Symbol

H_{ν}^{(1)} (z)

H_{ν}^{(2)} (z)

Notation systems

AsciiMath

"H"_nu^((1))(z)

AsciiMath

"H"_nu^((2))(z)

LaTeX

\text{H}_{\nu}^{( 1 )} ( z )

LaTeX

\text{H}_{\nu}^{( 2 )} ( z )

Definition

Hankel function, + cylinder Bessel function of the third kind

fonction de Hankel, + fonction de Bessel de troisième espèce

Notes

$H_{ν}^{(1)} (z) = J_{ν} (z) + {iN}_{ν} (z)$

$H_{ν}^{(2)} (z) = J_{ν} (z) + {iN}_{ν} (z)$

(for $ν \in C$ )

$H_{ν}^{(1)} (z) = J_{ν} (z) + {iN}_{ν} (z)$

$H_{ν}^{(2)} (z) = J_{ν} (z) + {iN}_{ν} (z)$

(pour $ν \in C$ )

Ontology
isq:MathConcept smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:MathConcept

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

Instance IRI

isq:t2-20.25

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.25
skosxl:prefLabel	"Hankel function"@en
skosxl:altLabel	""H"_nu^((1))(z)"@en""H"_nu^((2))(z)"@en
skos:definition	Hankel function, + cylinder Bessel function of the third kind
skos:note	stem:["H"_nu^((1))(z) = "J"_nu (z) + "iN"_nu(z)] stem:["H"_nu^((2))(z) = "J"_nu (z) + "iN"_nu(z)] (for stem:[nu in bb(…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20

Related Entities

isq:MathConceptShape isq:part-2-20 smart:TermEntry