Neumann function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.24

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.24
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.24

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.24

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.24

Designations

ENNeumann function

FRfonction de Neumann

Symbol

N_{ν} (z)

Notation systems

AsciiMath

"N"_nu(z)

LaTeX

\text{N}_{\nu} ( z )

Definition

Neumann function, + cylinder Bessel function of the second kind

fonction de Neumann, + fonction de Bessel de deuxième espèce

$N_{ν} (z) = \frac{J_{ν} (z) cos (ν π) - J_{- ν} (z)}{sin (ν π)}$

(for $ν \in C$ )

The right-hand side of this equation is replaced by its limiting value if $ν \in Z$ .

$Y_{ν} (z)$ is also used.

$N_{ν} (z) = \frac{J_{ν} (z) cos (ν π) - J_{- ν} (z)}{sin (ν π)}$

(pour $ν \in C$ )

La partie droite de cette équation est remplacée par sa valeur limite si $ν \in Z$ .

$Y_{ν} (z)$ est aussi utilisé.

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

isq:t2-20.24

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.24
skosxl:prefLabel	"Neumann function"@en
skosxl:altLabel	""N"_nu(z)"@en
skos:definition	Neumann function, + cylinder Bessel function of the second kind
skos:note	stem:["N"_nu(z) = ("J"_nu (z)"cos"(nu pi)-"J"_(-nu)(z))/("sin"(nu pi))] (for stem:[nu in bb(sf(C))]) The right-hand si…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20