spherical Hankel function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.29

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.29
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.29

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.29

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.29

Designations

ENspherical Hankel function

FRfonction de Hankel sphérique

Symbol

h_{l}^{(1)} (z)

h_{l}^{(2)} (z)

Notation systems

AsciiMath

"h"_l^((1))(z)

AsciiMath

"h"_l^((2))(z)

LaTeX

\text{h}_{l}^{( 1 )} ( z )

LaTeX

\text{h}_{l}^{( 2 )} ( z )

Definition

spherical Hankel function

fonction de Hankel sphérique

Notes

$h_{l}^{(1)} (z) = j_{l} (z) + i n_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} H_{l + \frac{1}{2}}^{(1)} (z)$

$h_{l}^{(2)} (z) = j_{l} (z) + i n_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} H_{l + \frac{1}{2}}^{(2)} (z)$

Modified spherical Bessel function (analogous to modified Bessel function) can be defined and are denoted by $i_{l} (z)$ and $k_{l} (z)$ respectively.

$h_{l}^{(1)} (z) = j_{l} (z) + i n_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} H_{l + \frac{1}{2}}^{(1)} (z)$

$h_{l}^{(2)} (z) = j_{l} (z) + i n_{l} (z) = {(\frac{π}{2 z})}^{\frac{1}{2}} H_{l + \frac{1}{2}}^{(2)} (z)$

Les fonctions de Bessel sphériques modifiées (analogues à modified Bessel function) peuvent être définies et sont respectivement notées $i_{l} (z)$ et $k_{l} (z)$ .

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:t2-20.29

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.29
skosxl:prefLabel	"spherical Hankel function"@en
skosxl:altLabel	""h"_l^((1))(z)"@en""h"_l^((2))(z)"@en
skos:definition	spherical Hankel function
skos:note	stem:["h"_l^((1))(z) = "j"_l(z) + i"n"_l (z) = (pi/(2z))^(1/2) "H"_(l+1/2)^((1))(z)] stem:["h"_l^((2))(z) = "j"_l(z) + …
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20

Related Entities

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