DLMF:19.16.E1 (Q6316): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: symmetric elliptic integral of first kind / rank
 
Normal rank
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: Q11852 / rank
 
Normal rank
Property / Symbols used: Q11852 / qualifier
 
Defining formula:

s ( t ) 𝑠 𝑡 {\displaystyle{\displaystyle s(t)}}

s(t)
Property / Symbols used: Q11852 / qualifier
 
xml-id: C19.S16.XMD1.m1dec

Latest revision as of 13:51, 2 January 2020

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DLMF:19.16.E1
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    Statements

    R F ( x , y , z ) = 1 2 0 d t s ( t ) , Carlson-integral-RF 𝑥 𝑦 𝑧 1 2 superscript subscript 0 𝑡 𝑠 𝑡 {\displaystyle{\displaystyle R_{F}\left(x,y,z\right)=\frac{1}{2}\int_{0}^{% \infty}\frac{\mathrm{d}t}{s(t)},}}
    0 references
    DLMF:19.16.E1
    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
    s ( t ) 𝑠 𝑡 {\displaystyle{\displaystyle s(t)}}
    C19.S16.XMD1.m1dec
    0 references