DLMF:32.5.E1 (Q9236): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12523 / rank
 
Normal rank
Property / Symbols used: Q12523 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12523 / qualifier
 
xml-id: C32.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q12534 / rank
 
Normal rank
Property / Symbols used: Q12534 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12534 / qualifier
 
xml-id: C32.S1.XMD5.m1dec

Latest revision as of 12:53, 2 January 2020

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DLMF:32.5.E1
No description defined

    Statements

    test
    K ⁢ ( z , ζ ) = k ⁢ Ai ⁡ ( z + ζ 2 ) + k 2 4 ⁢ ∫ z ∞ ∫ z ∞ K ⁢ ( z , s ) ⁢ Ai ⁡ ( s + t 2 ) ⁢ Ai ⁡ ( t + ζ 2 ) ⁢ d s ⁢ d t , 𝐾 𝑧 𝜁 𝑘 Airy-Ai 𝑧 𝜁 2 superscript 𝑘 2 4 superscript subscript 𝑧 superscript subscript 𝑧 𝐾 𝑧 𝑠 Airy-Ai 𝑠 𝑡 2 Airy-Ai 𝑡 𝜁 2 𝑠 𝑡 {\displaystyle{\displaystyle K(z,\zeta)=k\mathrm{Ai}\left(\frac{z+\zeta}{2}% \right)+\frac{k^{2}}{4}\*\int_{z}^{\infty}\!\!\!\int_{z}^{\infty}K(z,s)\mathrm% {Ai}\left(\frac{s+t}{2}\right)\mathrm{Ai}\left(\frac{t+\zeta}{2}\right)\mathrm% {d}s\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:32.5.E1
    0 references
    Symbols used
    Q10919
    test
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1adec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q12523
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1dec
    0 references
    Q12534
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C32.S1.XMD5.m1dec
    0 references
     
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