DLMF:32.10.E5 (Q9405): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12604 / rank
 
Normal rank
Property / Symbols used: Q12604 / qualifier
 
Defining formula:

ϕ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}}

\phi(z)
Property / Symbols used: Q12604 / qualifier
 
xml-id: C32.S10.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12605 / rank
 
Normal rank
Property / Symbols used: Q12605 / qualifier
 
Defining formula:

C j subscript 𝐶 𝑗 {\displaystyle{\displaystyle C_{j}}}

C_{j}
Property / Symbols used: Q12605 / qualifier
 
xml-id: C32.S10.XMD3.m1dec

Latest revision as of 14:08, 2 January 2020

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DLMF:32.10.E5
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    Statements

    ϕ ( z ) = C 1 Ai ( - 2 - 1 / 3 z ) + C 2 Bi ( - 2 - 1 / 3 z ) , italic-ϕ 𝑧 subscript 𝐶 1 Airy-Ai superscript 2 1 3 𝑧 subscript 𝐶 2 Airy-Bi superscript 2 1 3 𝑧 {\displaystyle{\displaystyle\phi(z)=C_{1}\mathrm{Ai}\left(-2^{-1/3}z\right)+C_% {2}\mathrm{Bi}\left(-2^{-1/3}z\right),}}
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    DLMF:32.10.E5
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    Ai ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    C9.S2.SS1.m1adec
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    Bi ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    C9.S2.SS1.m2adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C32.S1.XMD4.m1cdec
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    ϕ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}}
    C32.S10.XMD2.m1adec
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    C j subscript 𝐶 𝑗 {\displaystyle{\displaystyle C_{j}}}
    C32.S10.XMD3.m1dec
    0 references