DLMF:19.26.E26 (Q6586): Difference between revisions

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Property / constraint
 

a = ( x + y ) / 2 𝑎 𝑥 𝑦 2 {\displaystyle{\displaystyle a=(x+y)/2}}

a=(x+y)/2
Property / constraint: a = ( x + y ) / 2 𝑎 𝑥 𝑦 2 {\displaystyle{\displaystyle a=(x+y)/2}} / rank
 
Normal rank
Property / constraint
 

ℜ ⁡ x ≥ 0 𝑥 0 {\displaystyle{\displaystyle\Re x\geq 0}}

\Re x\geq 0
Property / constraint: ℜ ⁡ x ≥ 0 𝑥 0 {\displaystyle{\displaystyle\Re x\geq 0}} / rank
 
Normal rank
Property / constraint
 

ℜ ⁡ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}}

\Re y>0
Property / constraint: ℜ ⁡ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / rank
 
Normal rank
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
 
test:

R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

\CarlsonellintRC@{\NVar{x}}{\NVar{y}}
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
 
xml-id: C19.S2.E17.m2agdec
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
test:

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1adec
Property / Symbols used
 
Property / Symbols used: Q11877 / rank
 
Normal rank
Property / Symbols used: Q11877 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11877 / qualifier
 
xml-id: C19.S26.XMD2.m1udec
Property / Symbols used
 
Property / Symbols used: Q11878 / rank
 
Normal rank
Property / Symbols used: Q11878 / qualifier
 
test:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q11878 / qualifier
 
xml-id: C19.S26.XMD3.m1vdec

Latest revision as of 13:14, 2 January 2020

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DLMF:19.26.E26
No description defined

    Statements

    test
    R C ⁡ ( x 2 , y 2 ) = R C ⁡ ( a 2 , a ⁢ y ) , Carlson-integral-RC superscript 𝑥 2 superscript 𝑦 2 Carlson-integral-RC superscript 𝑎 2 𝑎 𝑦 {\displaystyle{\displaystyle R_{C}\left(x^{2},y^{2}\right)=R_{C}\left(a^{2},ay% \right),}}
    0 references
    DLMF id
    DLMF:19.26.E26
    0 references
    constraint
    ℜ ⁡ x ≥ 0 𝑥 0 {\displaystyle{\displaystyle\Re x\geq 0}}
    0 references
    ℜ ⁡ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}}
    0 references
    a = ( x + y ) / 2 𝑎 𝑥 𝑦 2 {\displaystyle{\displaystyle a=(x+y)/2}}
    0 references
    ℜ ⁡ x ≥ 0 𝑥 0 {\displaystyle{\displaystyle\Re x\geq 0}}
    0 references
    ℜ ⁡ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}}
    0 references
    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    test
    R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2agdec
    0 references
    Q10811
    test
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
    0 references
    Q11877
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1udec
    0 references
    Q11878
    test
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1vdec
    0 references
     
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