DLMF:19.26.E14 (Q6568): Difference between revisions

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Property / constraint
 

p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 ℝ 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{0\}}}

p,q\in\mathbb{R}\setminus\{0\}
Property / constraint: p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 ℝ 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{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.m2acdec
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
test:

∈ {\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2adec
Property / Symbols used
 
Property / Symbols used: Q10812 / rank
 
Normal rank
Property / Symbols used: Q10812 / qualifier
 
test:

ℝ {\displaystyle{\displaystyle\mathbb{R}}}

\Reals
Property / Symbols used: Q10812 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r14.m2adec
Property / Symbols used
 
Property / Symbols used: Q10785 / rank
 
Normal rank
Property / Symbols used: Q10785 / qualifier
 
test:

∖ {\displaystyle{\displaystyle\setminus}}

\setminus
Property / Symbols used: Q10785 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r19.m2adec
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.m1kdec
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.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11881 / rank
 
Normal rank
Property / Symbols used: Q11881 / qualifier
 
test:

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

\xi
Property / Symbols used: Q11881 / qualifier
 
xml-id: C19.S26.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11882 / rank
 
Normal rank
Property / Symbols used: Q11882 / qualifier
 
test:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: Q11882 / qualifier
 
xml-id: C19.S26.XMD7.m1bdec

Latest revision as of 13:12, 2 January 2020

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English
DLMF:19.26.E14
No description defined

    Statements

    test
    ( p - y ) ⁢ R C ⁡ ( x , p ) + ( q - y ) ⁢ R C ⁡ ( x , q ) = ( η - ξ ) ⁢ R C ⁡ ( ξ , η ) , 𝑝 𝑦 Carlson-integral-RC 𝑥 𝑝 𝑞 𝑦 Carlson-integral-RC 𝑥 𝑞 𝜂 𝜉 Carlson-integral-RC 𝜉 𝜂 {\displaystyle{\displaystyle(p-y)R_{C}\left(x,p\right)+(q-y)R_{C}\left(x,q% \right)=(\eta-\xi)R_{C}\left(\xi,\eta\right),}}
    0 references
    DLMF id
    DLMF:19.26.E14
    0 references
    constraint
    p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{0\}}}
    0 references
    y ≥ 0 𝑦 0 {\displaystyle{\displaystyle y\geq 0}}
    0 references
    p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 ℝ 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{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.m2acdec
    0 references
    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
    0 references
    Q10812
    test
    ℝ {\displaystyle{\displaystyle\mathbb{R}}}
    xml-id
    introduction.Sx4.p2.t1.r14.m2adec
    0 references
    Q10785
    test
    ∖ {\displaystyle{\displaystyle\setminus}}
    xml-id
    introduction.Sx4.p2.t1.r19.m2adec
    0 references
    Q11877
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1kdec
    0 references
    Q11878
    test
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1kdec
    0 references
    Q11881
    test
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C19.S26.XMD6.m1bdec
    0 references
    Q11882
    test
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C19.S26.XMD7.m1bdec
    0 references
     
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