DLMF:32.11.E20 (Q9455): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2aidec
Property / Symbols used
 
Property / Symbols used: Q12533 / rank
 
Normal rank
Property / Symbols used: Q12533 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12533 / qualifier
 
xml-id: C32.S1.XMD3.m1ndec
Property / Symbols used
 
Property / Symbols used: Q12642 / rank
 
Normal rank
Property / Symbols used: Q12642 / qualifier
 
Defining formula:

ρ 𝜌 {\displaystyle{\displaystyle\rho}}

\rho
Property / Symbols used: Q12642 / qualifier
 
xml-id: C32.S11.XMD12.m1adec
Property / Symbols used
 
Property / Symbols used: Q12644 / rank
 
Normal rank
Property / Symbols used: Q12644 / qualifier
 
Defining formula:

ψ ( z ) 𝜓 𝑧 {\displaystyle{\displaystyle\psi(z)}}

\psi(z)
Property / Symbols used: Q12644 / qualifier
 
xml-id: C32.S11.XMD14.m1adec

Latest revision as of 14:15, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:32.11.E20
No description defined

    Statements

    ψ ( x ) = 2 3 2 x 3 / 2 - 3 2 ρ 2 ln x . 𝜓 𝑥 2 3 2 superscript 𝑥 3 2 3 2 superscript 𝜌 2 𝑥 {\displaystyle{\displaystyle\psi(x)=\tfrac{2}{3}\sqrt{2}x^{3/2}-\tfrac{3}{2}% \rho^{2}\ln x.}}
    0 references
    DLMF:32.11.E20
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aidec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C32.S1.XMD3.m1ndec
    0 references
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    C32.S11.XMD12.m1adec
    0 references
    ψ ( z ) 𝜓 𝑧 {\displaystyle{\displaystyle\psi(z)}}
    C32.S11.XMD14.m1adec
    0 references