DLMF:19.29.E11 (Q6636): Difference between revisions

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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.m1addec
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.m3addec
Property / Symbols used
 
Property / Symbols used: Q11818 / rank
 
Normal rank
Property / Symbols used: Q11818 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11818 / qualifier
 
xml-id: C19.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q11820 / rank
 
Normal rank
Property / Symbols used: Q11820 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11820 / qualifier
 
xml-id: C19.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11906 / rank
 
Normal rank
Property / Symbols used: Q11906 / qualifier
 
Defining formula:

I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}

I(\mathbf{m})
Property / Symbols used: Q11906 / qualifier
 
xml-id: C19.S29.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: Q11896 / rank
 
Normal rank
Property / Symbols used: Q11896 / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q11896 / qualifier
 
xml-id: C19.S29.XMD5.m1hdec

Latest revision as of 14:20, 2 January 2020

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English
DLMF:19.29.E11
No description defined

    Statements

    Defining formula
    I ⁢ ( 𝐦 ) = ∫ y x ∏ α = 1 h ( a α + b α ⁢ t ) - 1 / 2 ⁢ ∏ j = 1 n ( a j + b j ⁢ t ) m j ⁢ d t , 𝐼 𝐦 superscript subscript 𝑦 𝑥 superscript subscript product 𝛼 1 ℎ superscript subscript 𝑎 𝛼 subscript 𝑏 𝛼 𝑡 1 2 superscript subscript product 𝑗 1 𝑛 superscript subscript 𝑎 𝑗 subscript 𝑏 𝑗 𝑡 subscript 𝑚 𝑗 𝑡 {\displaystyle{\displaystyle I(\mathbf{m})=\int_{y}^{x}\prod_{\alpha=1}^{h}(a_% {\alpha}+b_{\alpha}t)^{-1/2}\prod_{j=1}^{n}(a_{j}+b_{j}t)^{m_{j}}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:19.29.E11
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
    0 references
    Q11818
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C19.S1.XMD2.m1dec
    0 references
    Q11820
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C19.S1.XMD3.m1dec
    0 references
    Q11906
    Defining formula
    I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}
    xml-id
    C19.S29.XMD13.m1dec
    0 references
    Q11896
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C19.S29.XMD5.m1hdec
    0 references
     
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