spherical Bessel function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.27

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.27
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.27

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.27

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.27

Designations

ENspherical Bessel function

FRfonction de Bessel sphérique

Symbol

j_{l} (z)

Notation systems

AsciiMath

"j"_l(z)

LaTeX

\text{j}_{l} ( z )

Definition

spherical Bessel function

fonction de Bessel sphérique

$j_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} J_{l + 1 / 2} (z)$

(for $l \in N$ )

Solution of

$z^{2} y ″ + 2 z y' + [z^{2} - l (l + 1) \$ y=0]

$j_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} J_{l + 1 / 2} (z)$

(pour $l \in N$ )

Solution de

$z^{2} y ″ + 2 z y' + [z^{2} - l (l + 1) \$ y=0]

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

isq:t2-20.27

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.27
skosxl:prefLabel	"spherical Bessel function"@en
skosxl:altLabel	""j"_l(z)"@en
skos:definition	spherical Bessel function
skos:note	stem:["j"_l(z) = (pi/(2z))^(1/2) "J"_(l+1//2)(z)] (for stem:[l in bb(sf(N))]) Solution of stem:[z^2y'' + 2zy' + [z^2-…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20