DLMF:2.5.E30 (Q806): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
(4 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.m1afdec
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.m3afdec
Property / Symbols used
 
Property / Symbols used: Q11005 / rank
 
Normal rank
Property / Symbols used: Q11005 / qualifier
 
Defining formula:

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

h(x)
Property / Symbols used: Q11005 / qualifier
 
xml-id: C2.S5.XMD16.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11009 / rank
 
Normal rank
Property / Symbols used: Q11009 / qualifier
 
Defining formula:

f j ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}

f_{j}(t)
Property / Symbols used: Q11009 / qualifier
 
xml-id: C2.S5.XMD19.m1ddec
Property / Symbols used
 
Property / Symbols used: Q10994 / rank
 
Normal rank
Property / Symbols used: Q10994 / qualifier
 
Defining formula:

I ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}}

I(x)
Property / Symbols used: Q10994 / qualifier
 
xml-id: C2.S5.XMD5.m1hdec

Latest revision as of 17:05, 1 January 2020

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DLMF:2.5.E30
No description defined

    Statements

    I j k ( x ) = 0 f j ( t ) h k ( x t ) d t . subscript 𝐼 𝑗 𝑘 𝑥 superscript subscript 0 subscript 𝑓 𝑗 𝑡 subscript 𝑘 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle I_{jk}(x)=\int_{0}^{\infty}f_{j}(t)h_{k}(xt)% \mathrm{d}t.}}
    0 references
    DLMF:2.5.E30
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1afdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3afdec
    0 references
    h ( x ) 𝑥 {\displaystyle{\displaystyle h(x)}}
    C2.S5.XMD16.m1fdec
    0 references
    f j ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}
    C2.S5.XMD19.m1ddec
    0 references
    I ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}}
    C2.S5.XMD5.m1hdec
    0 references