DLMF:1.15.E13 (Q555): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3adec
Property / Symbols used
 
Property / Symbols used: Poisson kernel (locally) / rank
 
Normal rank
Property / Symbols used: Poisson kernel (locally) / qualifier
 
Defining formula:

P ( r , θ ) 𝑃 𝑟 𝜃 {\displaystyle{\displaystyle P(r,\theta)}}

P(r,\theta)
Property / Symbols used: Poisson kernel (locally) / qualifier
 
xml-id: C1.S15.XMD1.m1adec

Latest revision as of 16:29, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.15.E13
No description defined

    Statements

    1 2 π 0 2 π P ( r , θ ) d θ = 1 . 1 2 𝜋 subscript superscript 2 𝜋 0 𝑃 𝑟 𝜃 𝜃 1 {\displaystyle{\displaystyle\frac{1}{2\pi}\int^{2\pi}_{0}P(r,\theta)\mathrm{d}% \theta=1.}}
    0 references
    DLMF:1.15.E13
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3adec
    0 references
    P ( r , θ ) 𝑃 𝑟 𝜃 {\displaystyle{\displaystyle P(r,\theta)}}
    C1.S15.XMD1.m1adec
    0 references