DLMF:2.5.E3 (Q779): Difference between revisions

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Property / constraint
 

x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}

x>0
Property / constraint: x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1abdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec
Property / Symbols used
 
Property / Symbols used: Q10992 / rank
 
Normal rank
Property / Symbols used: Q10992 / qualifier
 
test:

f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}

f(x)
Property / Symbols used: Q10992 / qualifier
 
xml-id: C2.S5.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10994 / rank
 
Normal rank
Property / Symbols used: Q10994 / qualifier
 
test:

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

I(x)
Property / Symbols used: Q10994 / qualifier
 
xml-id: C2.S5.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q10995 / rank
 
Normal rank
Property / Symbols used: Q10995 / qualifier
 
test:

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

h(x)
Property / Symbols used: Q10995 / qualifier
 
xml-id: C2.S5.XMD6.m1dec

Latest revision as of 16:01, 1 January 2020

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DLMF:2.5.E3
No description defined

    Statements

    test
    I ⁢ ( x ) = ∫ 0 ∞ f ⁢ ( t ) ⁢ h ⁢ ( x ⁢ t ) ⁢ d t , 𝐼 𝑥 superscript subscript 0 𝑓 𝑡 ℎ 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle I(x)=\int_{0}^{\infty}f(t)\,h(xt)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.5.E3
    0 references
    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
    Q10992
    test
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C2.S5.XMD1.m1bdec
    0 references
    Q10994
    test
    I ⁢ ( x ) 𝐼 𝑥 {\displaystyle{\displaystyle I(x)}}
    xml-id
    C2.S5.XMD5.m1dec
    0 references
    Q10995
    test
    h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}}
    xml-id
    C2.S5.XMD6.m1dec
    0 references
     
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