DLMF:1.15.E37 (Q579): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 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.m1aldec
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.m3aldec
Property / Symbols used
 
Property / Symbols used: Poisson kernel (locally) / rank
 
Normal rank
Property / Symbols used: Poisson kernel (locally) / qualifier
 
Defining formula:

P ( x , y ) 𝑃 𝑥 𝑦 {\displaystyle{\displaystyle P(x,y)}}

P(x,y)
Property / Symbols used: Poisson kernel (locally) / qualifier
 
xml-id: C1.S15.XMD7.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10899 / rank
 
Normal rank
Property / Symbols used: Q10899 / qualifier
 
Defining formula:

h ( x , y ) 𝑥 𝑦 {\displaystyle{\displaystyle h(x,y)}}

h(x,y)
Property / Symbols used: Q10899 / qualifier
 
xml-id: C1.S15.XMD8.m1adec

Latest revision as of 16:31, 1 January 2020

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DLMF:1.15.E37
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    Statements

    h ( x , y ) = 1 2 π - f ( t ) P ( x - t , y ) d t 𝑥 𝑦 1 2 𝜋 subscript superscript 𝑓 𝑡 𝑃 𝑥 𝑡 𝑦 𝑡 {\displaystyle{\displaystyle h(x,y)=\frac{1}{2\pi}\int^{\infty}_{-\infty}f(t)P% (x-t,y)\mathrm{d}t}}
    0 references
    DLMF:1.15.E37
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2agdec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aldec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aldec
    0 references
    P ( x , y ) 𝑃 𝑥 𝑦 {\displaystyle{\displaystyle P(x,y)}}
    C1.S15.XMD7.m1cdec
    0 references
    h ( x , y ) 𝑥 𝑦 {\displaystyle{\displaystyle h(x,y)}}
    C1.S15.XMD8.m1adec
    0 references