confluent hypergeometric function

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.14

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https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.14
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.14

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.14

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.14

Designations

ENconfluent hypergeometric function

FRfonction hypergéométrique confluente

Symbol

F (a; c; z)

Notation systems

AsciiMath

F(a;c;z)

LaTeX

F ( a ; c ; z )

Definition

confluent hypergeometric function

fonction hypergéométrique confluente

$F (a; c; z) = \sum_{n = 0}^{\infty} \frac{{(a)}_{n}}{{(c)}_{n} n!} z^{n}$

(for $- c \notin N$ )

For ${(a)}_{n}$ and ${(c)}_{n}$ , see rising factorial.

Solution of $z y ″ + (c - z) y' - a y = 0$

$F (a; c; z) = \sum_{n = 0}^{\infty} \frac{{(a)}_{n}}{{(c)}_{n} n!} z^{n}$

(pour $- c \notin N$ )

Pour ${(a)}_{n}$ et ${(c)}_{n}$ , voir rising factorial.

Solution de $z y ″ + (c - z) y' - a y = 0$

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

isq:t2-20.14

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.14
skosxl:prefLabel	"confluent hypergeometric function"@en
skosxl:altLabel	"F(a;c;z)"@en
skos:definition	confluent hypergeometric function
skos:note	stem:[F(a;c;z) = sum_(n=0)^(oo) ((a)_n)/((c)_n n!) z^n] (for stem:[-c !in bb(sf(N))]) For stem:[(a)_n] and stem:[(c)_n…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20