Part 2 §202-20.1

Part 2 §20: Special Functions II·30 entries

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Section 2-2030 entries

2-20.1Euler-Mascheroni constant 2-20.2gamma function 2-20.3Riemann zeta function 2-20.4beta function 2-20.5exponential integral 2-20.6logarithmic integral 2-20.7sine integral 2-20.8Fresnel integral 2-20.9error function 2-20.10incomplete elliptic integral of the first kind 2-20.11incomplete elliptic integral of the second kind 2-20.12incomplete elliptic integral of the third kind 2-20.13hypergeometric function 2-20.14confluent hypergeometric function 2-20.15Legendre polynomial 2-20.16associated Legendre function 2-20.17spherical harmonic 2-20.18Hermite polynomial 2-20.19Laguerre polynomial 2-20.20associated Laguerre polynomial 2-20.21Chebyshev polynomial of the first kind 2-20.22Chebyshev polynomial of the second kind 2-20.23Bessel function 2-20.24Neumann function 2-20.25Hankel function 2-20.26modified Bessel function 2-20.27spherical Bessel function 2-20.28spherical Neumann function 2-20.29spherical Hankel function 2-20.30Airy function

2-20.1

Euler-Mascheroni constant

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-20.1

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/math/part-2-20/t2-20.1
urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.1

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-20.1

IEC

urn:iec:std:iec:80000-2:2019:::item:2-20.1

Designations

ENEuler-Mascheroni constant

FRfonction d'Euler-Mascheroni

Symbol

γ

C

Notation systems

AsciiMath

rm(gamma)

AsciiMath

rm(C)

LaTeX

\mathrm{\gamma}

LaTeX

\mathrm{C}

Definition

EN

Euler-Mascheroni constant

FR

constante d'Euler-Mascheroni

Notes

EN

$γ = lim_{n \to \infty} (\sum_{k = 1}^{n} \frac{1}{k} - ln n) = 0.5772156 \dots$

FR

$γ = lim_{n \to \infty} (\sum_{k = 1}^{n} \frac{1}{k} - ln n) = 0.5772156 \dots$

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:t2-20.1

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-20.1
skosxl:prefLabel	"Euler-Mascheroni constant"@en
skosxl:altLabel	"rm(gamma)"@en"rm(C)"@en
skos:definition	Euler-Mascheroni constant
skos:note	stem:[rm(gamma) = lim_(n -> oo) (sum_(k=1)^n 1/k - "ln" n) = 0.5772156...]
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-20

Related Entities

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