DLMF:32.6.E20 (Q9259): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12546 / rank
 
Normal rank
Property / Symbols used: Q12546 / qualifier
 
Defining formula:

H ( q , p , z ) H 𝑞 𝑝 𝑧 {\displaystyle{\displaystyle\mathrm{H}(q,p,z)}}

\mathrm{H}(q,p,z)
Property / Symbols used: Q12546 / qualifier
 
xml-id: C32.S6.XMD12.m1adec
Property / Symbols used
 
Property / Symbols used: Q12547 / rank
 
Normal rank
Property / Symbols used: Q12547 / qualifier
 
Defining formula:

θ 𝜃 {\displaystyle{\displaystyle\theta}}

\theta
Property / Symbols used: Q12547 / qualifier
 
xml-id: C32.S6.XMD13.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12541 / rank
 
Normal rank
Property / Symbols used: Q12541 / qualifier
 
Defining formula:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q12541 / qualifier
 
xml-id: C32.S6.XMD2.m1ndec
Property / Symbols used
 
Property / Symbols used: Q12548 / rank
 
Normal rank
Property / Symbols used: Q12548 / qualifier
 
Defining formula:

κ j subscript 𝜅 𝑗 {\displaystyle{\displaystyle\kappa_{j}}}

\kappa_{j}
Property / Symbols used: Q12548 / qualifier
 
xml-id: C32.S6.XMD9.m1ddec

Latest revision as of 13:56, 2 January 2020

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DLMF:32.6.E20
No description defined

    Statements

    σ = z H III ( q , p , z ) + p q + θ 0 2 - 1 2 κ 0 κ z 2 𝜎 𝑧 subscript H III 𝑞 𝑝 𝑧 𝑝 𝑞 superscript subscript 𝜃 0 2 1 2 subscript 𝜅 0 subscript 𝜅 superscript 𝑧 2 {\displaystyle{\displaystyle\sigma=z\mathrm{H}_{\mbox{\scriptsize III}}(q,p,z)% +pq+\theta_{0}^{2}-\tfrac{1}{2}\kappa_{0}\kappa_{\infty}z^{2}}}
    0 references
    DLMF:32.6.E20
    0 references
    Warning: Falling back to standard tex;
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C32.S1.XMD4.m1ldec
    0 references
    q 𝑞 {\displaystyle{\displaystyle q}}
    C32.S6.XMD1.m1mdec
    0 references
    σ 𝜎 {\displaystyle{\displaystyle\sigma}}
    C32.S6.XMD11.m1dec
    0 references
    H ( q , p , z ) H 𝑞 𝑝 𝑧 {\displaystyle{\displaystyle\mathrm{H}(q,p,z)}}
    C32.S6.XMD12.m1adec
    0 references
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    C32.S6.XMD13.m1ddec
    0 references
    p 𝑝 {\displaystyle{\displaystyle p}}
    C32.S6.XMD2.m1ndec
    0 references
    κ j subscript 𝜅 𝑗 {\displaystyle{\displaystyle\kappa_{j}}}
    C32.S6.XMD9.m1ddec
    0 references